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Finding the Third Proportional to 24,231 and 32,730

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Solution

The third proportional to 24,231 and 32,730 is: 44,210.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,231 : 32,730 = 32,730 : x
  2. Step 2: Convert to fraction form
    24,231/32,730 = 32,730/x
  3. Step 3: Cross multiply
    24,231x = 32,730 × 32,730
  4. Step 4: Simplify right side
    24,231x = 1,071,252,900
  5. Step 5: Solve for x
    x = 1,071,252,900/24,231
  6. Step 6: Final answer
    x = 44,210.02

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.