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Finding the Third Proportional to 24,197 and 38,528

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Solution

The third proportional to 24,197 and 38,528 is: 61,346.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,197 : 38,528 = 38,528 : x
  2. Step 2: Convert to fraction form
    24,197/38,528 = 38,528/x
  3. Step 3: Cross multiply
    24,197x = 38,528 × 38,528
  4. Step 4: Simplify right side
    24,197x = 1,484,406,784
  5. Step 5: Solve for x
    x = 1,484,406,784/24,197
  6. Step 6: Final answer
    x = 61,346.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.