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Finding the Third Proportional to 24,297 and 32,291

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Solution

The third proportional to 24,297 and 32,291 is: 42,915.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,297 : 32,291 = 32,291 : x
  2. Step 2: Convert to fraction form
    24,297/32,291 = 32,291/x
  3. Step 3: Cross multiply
    24,297x = 32,291 × 32,291
  4. Step 4: Simplify right side
    24,297x = 1,042,708,681
  5. Step 5: Solve for x
    x = 1,042,708,681/24,297
  6. Step 6: Final answer
    x = 42,915.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.