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Finding the Third Proportional to 14,913 and 32,591

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Solution

The third proportional to 14,913 and 32,591 is: 71,224.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,913 : 32,591 = 32,591 : x
  2. Step 2: Convert to fraction form
    14,913/32,591 = 32,591/x
  3. Step 3: Cross multiply
    14,913x = 32,591 × 32,591
  4. Step 4: Simplify right side
    14,913x = 1,062,173,281
  5. Step 5: Solve for x
    x = 1,062,173,281/14,913
  6. Step 6: Final answer
    x = 71,224.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.