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Finding the Third Proportional to 35,552 and 50,528

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Solution

The third proportional to 35,552 and 50,528 is: 71,812.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,552 : 50,528 = 50,528 : x
  2. Step 2: Convert to fraction form
    35,552/50,528 = 50,528/x
  3. Step 3: Cross multiply
    35,552x = 50,528 × 50,528
  4. Step 4: Simplify right side
    35,552x = 2,553,078,784
  5. Step 5: Solve for x
    x = 2,553,078,784/35,552
  6. Step 6: Final answer
    x = 71,812.52

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.