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Finding the Third Proportional to 38,924 and 59,528

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Solution

The third proportional to 38,924 and 59,528 is: 91,038.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,924 : 59,528 = 59,528 : x
  2. Step 2: Convert to fraction form
    38,924/59,528 = 59,528/x
  3. Step 3: Cross multiply
    38,924x = 59,528 × 59,528
  4. Step 4: Simplify right side
    38,924x = 3,543,582,784
  5. Step 5: Solve for x
    x = 3,543,582,784/38,924
  6. Step 6: Final answer
    x = 91,038.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.