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Finding the Third Proportional to 15,034 and 31,688

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Solution

The third proportional to 15,034 and 31,688 is: 66,790.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,034 : 31,688 = 31,688 : x
  2. Step 2: Convert to fraction form
    15,034/31,688 = 31,688/x
  3. Step 3: Cross multiply
    15,034x = 31,688 × 31,688
  4. Step 4: Simplify right side
    15,034x = 1,004,129,344
  5. Step 5: Solve for x
    x = 1,004,129,344/15,034
  6. Step 6: Final answer
    x = 66,790.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.