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Finding the Third Proportional to 14,871 and 32,597

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Solution

The third proportional to 14,871 and 32,597 is: 71,452.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,871 : 32,597 = 32,597 : x
  2. Step 2: Convert to fraction form
    14,871/32,597 = 32,597/x
  3. Step 3: Cross multiply
    14,871x = 32,597 × 32,597
  4. Step 4: Simplify right side
    14,871x = 1,062,564,409
  5. Step 5: Solve for x
    x = 1,062,564,409/14,871
  6. Step 6: Final answer
    x = 71,452.12

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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.