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Finding the Third Proportional to 24,217 and 32,709

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Solution

The third proportional to 24,217 and 32,709 is: 44,178.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,217 : 32,709 = 32,709 : x
  2. Step 2: Convert to fraction form
    24,217/32,709 = 32,709/x
  3. Step 3: Cross multiply
    24,217x = 32,709 × 32,709
  4. Step 4: Simplify right side
    24,217x = 1,069,878,681
  5. Step 5: Solve for x
    x = 1,069,878,681/24,217
  6. Step 6: Final answer
    x = 44,178.83

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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.