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Finding the Third Proportional to 47,908 and 72,528

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Solution

The third proportional to 47,908 and 72,528 is: 109,800.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,908 : 72,528 = 72,528 : x
  2. Step 2: Convert to fraction form
    47,908/72,528 = 72,528/x
  3. Step 3: Cross multiply
    47,908x = 72,528 × 72,528
  4. Step 4: Simplify right side
    47,908x = 5,260,310,784
  5. Step 5: Solve for x
    x = 5,260,310,784/47,908
  6. Step 6: Final answer
    x = 109,800.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.