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Finding the Third Proportional to 22,014 and 32,541

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Solution

The third proportional to 22,014 and 32,541 is: 48,101.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,014 : 32,541 = 32,541 : x
  2. Step 2: Convert to fraction form
    22,014/32,541 = 32,541/x
  3. Step 3: Cross multiply
    22,014x = 32,541 × 32,541
  4. Step 4: Simplify right side
    22,014x = 1,058,916,681
  5. Step 5: Solve for x
    x = 1,058,916,681/22,014
  6. Step 6: Final answer
    x = 48,101.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.