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Finding the Third Proportional to 10,234 and 15,287.75

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Solution

The third proportional to 10,234 and 15,287.75 is: 22,837.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234 : 15,287.75 = 15,287.75 : x
  2. Step 2: Convert to fraction form
    10,234/15,287.75 = 15,287.75/x
  3. Step 3: Cross multiply
    10,234x = 15,287.75 × 15,287.75
  4. Step 4: Simplify right side
    10,234x = 233,715,300.06
  5. Step 5: Solve for x
    x = 233,715,300.06/10,234
  6. Step 6: Final answer
    x = 22,837.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.