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Finding the Third Proportional to 13,952 and 30,712

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Solution

The third proportional to 13,952 and 30,712 is: 67,605.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952 : 30,712 = 30,712 : x
  2. Step 2: Convert to fraction form
    13,952/30,712 = 30,712/x
  3. Step 3: Cross multiply
    13,952x = 30,712 × 30,712
  4. Step 4: Simplify right side
    13,952x = 943,226,944
  5. Step 5: Solve for x
    x = 943,226,944/13,952
  6. Step 6: Final answer
    x = 67,605.14

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.