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Finding the Third Proportional to 39,024 and 58,528

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Solution

The third proportional to 39,024 and 58,528 is: 87,780.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,024 : 58,528 = 58,528 : x
  2. Step 2: Convert to fraction form
    39,024/58,528 = 58,528/x
  3. Step 3: Cross multiply
    39,024x = 58,528 × 58,528
  4. Step 4: Simplify right side
    39,024x = 3,425,526,784
  5. Step 5: Solve for x
    x = 3,425,526,784/39,024
  6. Step 6: Final answer
    x = 87,780.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.