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Finding the Third Proportional to 28,757 and 60,970

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Solution

The third proportional to 28,757 and 60,970 is: 129,267.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,757 : 60,970 = 60,970 : x
  2. Step 2: Convert to fraction form
    28,757/60,970 = 60,970/x
  3. Step 3: Cross multiply
    28,757x = 60,970 × 60,970
  4. Step 4: Simplify right side
    28,757x = 3,717,340,900
  5. Step 5: Solve for x
    x = 3,717,340,900/28,757
  6. Step 6: Final answer
    x = 129,267.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.