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Finding the Third Proportional to 11,501 and 24,730

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Solution

The third proportional to 11,501 and 24,730 is: 53,175.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,501 : 24,730 = 24,730 : x
  2. Step 2: Convert to fraction form
    11,501/24,730 = 24,730/x
  3. Step 3: Cross multiply
    11,501x = 24,730 × 24,730
  4. Step 4: Simplify right side
    11,501x = 611,572,900
  5. Step 5: Solve for x
    x = 611,572,900/11,501
  6. Step 6: Final answer
    x = 53,175.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.