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Finding the Third Proportional to 10,040 and 15,262

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Solution

The third proportional to 10,040 and 15,262 is: 23,200.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040 : 15,262 = 15,262 : x
  2. Step 2: Convert to fraction form
    10,040/15,262 = 15,262/x
  3. Step 3: Cross multiply
    10,040x = 15,262 × 15,262
  4. Step 4: Simplify right side
    10,040x = 232,928,644
  5. Step 5: Solve for x
    x = 232,928,644/10,040
  6. Step 6: Final answer
    x = 23,200.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.