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Finding the Third Proportional to 24,020 and 38,004

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Solution

The third proportional to 24,020 and 38,004 is: 60,129.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,020 : 38,004 = 38,004 : x
  2. Step 2: Convert to fraction form
    24,020/38,004 = 38,004/x
  3. Step 3: Cross multiply
    24,020x = 38,004 × 38,004
  4. Step 4: Simplify right side
    24,020x = 1,444,304,016
  5. Step 5: Solve for x
    x = 1,444,304,016/24,020
  6. Step 6: Final answer
    x = 60,129.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.