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Finding the Third Proportional to 10,140 and 14,932

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Solution

The third proportional to 10,140 and 14,932 is: 21,988.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,140 : 14,932 = 14,932 : x
  2. Step 2: Convert to fraction form
    10,140/14,932 = 14,932/x
  3. Step 3: Cross multiply
    10,140x = 14,932 × 14,932
  4. Step 4: Simplify right side
    10,140x = 222,964,624
  5. Step 5: Solve for x
    x = 222,964,624/10,140
  6. Step 6: Final answer
    x = 21,988.62

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.