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Finding the Third Proportional to 29,296.50 and 60,669

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Solution

The third proportional to 29,296.50 and 60,669 is: 125,637.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,296.50 : 60,669 = 60,669 : x
  2. Step 2: Convert to fraction form
    29,296.50/60,669 = 60,669/x
  3. Step 3: Cross multiply
    29,296.50x = 60,669 × 60,669
  4. Step 4: Simplify right side
    29,296.50x = 3,680,727,561
  5. Step 5: Solve for x
    x = 3,680,727,561/29,296.50
  6. Step 6: Final answer
    x = 125,637.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.