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Finding the Third Proportional to 24,140 and 36,363

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Solution

The third proportional to 24,140 and 36,363 is: 54,774.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,140 : 36,363 = 36,363 : x
  2. Step 2: Convert to fraction form
    24,140/36,363 = 36,363/x
  3. Step 3: Cross multiply
    24,140x = 36,363 × 36,363
  4. Step 4: Simplify right side
    24,140x = 1,322,267,769
  5. Step 5: Solve for x
    x = 1,322,267,769/24,140
  6. Step 6: Final answer
    x = 54,774.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.