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Finding the Third Proportional to 28,042 and 60,458

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Solution

The third proportional to 28,042 and 60,458 is: 130,346.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,042 : 60,458 = 60,458 : x
  2. Step 2: Convert to fraction form
    28,042/60,458 = 60,458/x
  3. Step 3: Cross multiply
    28,042x = 60,458 × 60,458
  4. Step 4: Simplify right side
    28,042x = 3,655,169,764
  5. Step 5: Solve for x
    x = 3,655,169,764/28,042
  6. Step 6: Final answer
    x = 130,346.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.