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Finding the Third Proportional to 15,321.75 and 32,047.13

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Solution

The third proportional to 15,321.75 and 32,047.13 is: 67,030.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,321.75 : 32,047.13 = 32,047.13 : x
  2. Step 2: Convert to fraction form
    15,321.75/32,047.13 = 32,047.13/x
  3. Step 3: Cross multiply
    15,321.75x = 32,047.13 × 32,047.13
  4. Step 4: Simplify right side
    15,321.75x = 1,027,018,220.77
  5. Step 5: Solve for x
    x = 1,027,018,220.77/15,321.75
  6. Step 6: Final answer
    x = 67,030.09

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.