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Finding the Third Proportional to 15,070 and 31,324

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Solution

The third proportional to 15,070 and 31,324 is: 65,109.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,070 : 31,324 = 31,324 : x
  2. Step 2: Convert to fraction form
    15,070/31,324 = 31,324/x
  3. Step 3: Cross multiply
    15,070x = 31,324 × 31,324
  4. Step 4: Simplify right side
    15,070x = 981,192,976
  5. Step 5: Solve for x
    x = 981,192,976/15,070
  6. Step 6: Final answer
    x = 65,109.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.