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Finding the Third Proportional to 24,538 and 38,066

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Solution

The third proportional to 24,538 and 38,066 is: 59,052.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,538 : 38,066 = 38,066 : x
  2. Step 2: Convert to fraction form
    24,538/38,066 = 38,066/x
  3. Step 3: Cross multiply
    24,538x = 38,066 × 38,066
  4. Step 4: Simplify right side
    24,538x = 1,449,020,356
  5. Step 5: Solve for x
    x = 1,449,020,356/24,538
  6. Step 6: Final answer
    x = 59,052.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.