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Finding the Third Proportional to 23,203.13 and 32,788.13

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Solution

The third proportional to 23,203.13 and 32,788.13 is: 46,332.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,203.13 : 32,788.13 = 32,788.13 : x
  2. Step 2: Convert to fraction form
    23,203.13/32,788.13 = 32,788.13/x
  3. Step 3: Cross multiply
    23,203.13x = 32,788.13 × 32,788.13
  4. Step 4: Simplify right side
    23,203.13x = 1,075,061,141.02
  5. Step 5: Solve for x
    x = 1,075,061,141.02/23,203.13
  6. Step 6: Final answer
    x = 46,332.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.