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Finding the Third Proportional to 24,807 and 38,363

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Solution

The third proportional to 24,807 and 38,363 is: 59,326.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,807 : 38,363 = 38,363 : x
  2. Step 2: Convert to fraction form
    24,807/38,363 = 38,363/x
  3. Step 3: Cross multiply
    24,807x = 38,363 × 38,363
  4. Step 4: Simplify right side
    24,807x = 1,471,719,769
  5. Step 5: Solve for x
    x = 1,471,719,769/24,807
  6. Step 6: Final answer
    x = 59,326.79

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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.