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Finding the Third Proportional to 10,042 and 15,063

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Solution

The third proportional to 10,042 and 15,063 is: 22,594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042 : 15,063 = 15,063 : x
  2. Step 2: Convert to fraction form
    10,042/15,063 = 15,063/x
  3. Step 3: Cross multiply
    10,042x = 15,063 × 15,063
  4. Step 4: Simplify right side
    10,042x = 226,893,969
  5. Step 5: Solve for x
    x = 226,893,969/10,042
  6. Step 6: Final answer
    x = 22,594.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.