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Finding the Third Proportional to 10,090 and 15,424

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Solution

The third proportional to 10,090 and 15,424 is: 23,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090 : 15,424 = 15,424 : x
  2. Step 2: Convert to fraction form
    10,090/15,424 = 15,424/x
  3. Step 3: Cross multiply
    10,090x = 15,424 × 15,424
  4. Step 4: Simplify right side
    10,090x = 237,899,776
  5. Step 5: Solve for x
    x = 237,899,776/10,090
  6. Step 6: Final answer
    x = 23,577.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.