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Finding the Third Proportional to 22,560 and 48,730

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Solution

The third proportional to 22,560 and 48,730 is: 105,257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,560 : 48,730 = 48,730 : x
  2. Step 2: Convert to fraction form
    22,560/48,730 = 48,730/x
  3. Step 3: Cross multiply
    22,560x = 48,730 × 48,730
  4. Step 4: Simplify right side
    22,560x = 2,374,612,900
  5. Step 5: Solve for x
    x = 2,374,612,900/22,560
  6. Step 6: Final answer
    x = 105,257.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.