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Finding the Third Proportional to 24,952.13 and 38,460.94

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Solution

The third proportional to 24,952.13 and 38,460.94 is: 59,283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,952.13 : 38,460.94 = 38,460.94 : x
  2. Step 2: Convert to fraction form
    24,952.13/38,460.94 = 38,460.94/x
  3. Step 3: Cross multiply
    24,952.13x = 38,460.94 × 38,460.94
  4. Step 4: Simplify right side
    24,952.13x = 1,479,243,713.38
  5. Step 5: Solve for x
    x = 1,479,243,713.38/24,952.13
  6. Step 6: Final answer
    x = 59,283.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.