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Finding the Third Proportional to 32,420.25 and 39,872.25

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Solution

The third proportional to 32,420.25 and 39,872.25 is: 49,037.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,420.25 : 39,872.25 = 39,872.25 : x
  2. Step 2: Convert to fraction form
    32,420.25/39,872.25 = 39,872.25/x
  3. Step 3: Cross multiply
    32,420.25x = 39,872.25 × 39,872.25
  4. Step 4: Simplify right side
    32,420.25x = 1,589,796,320.06
  5. Step 5: Solve for x
    x = 1,589,796,320.06/32,420.25
  6. Step 6: Final answer
    x = 49,037.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.