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Finding the Third Proportional to 13,428 and 31,597

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Solution

The third proportional to 13,428 and 31,597 is: 74,349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428 : 31,597 = 31,597 : x
  2. Step 2: Convert to fraction form
    13,428/31,597 = 31,597/x
  3. Step 3: Cross multiply
    13,428x = 31,597 × 31,597
  4. Step 4: Simplify right side
    13,428x = 998,370,409
  5. Step 5: Solve for x
    x = 998,370,409/13,428
  6. Step 6: Final answer
    x = 74,349.90

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.