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Finding the Third Proportional to 28,750 and 62,842

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Solution

The third proportional to 28,750 and 62,842 is: 137,360.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,750 : 62,842 = 62,842 : x
  2. Step 2: Convert to fraction form
    28,750/62,842 = 62,842/x
  3. Step 3: Cross multiply
    28,750x = 62,842 × 62,842
  4. Step 4: Simplify right side
    28,750x = 3,949,116,964
  5. Step 5: Solve for x
    x = 3,949,116,964/28,750
  6. Step 6: Final answer
    x = 137,360.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.