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Finding the Third Proportional to 29,205 and 47,452.50

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Solution

The third proportional to 29,205 and 47,452.50 is: 77,101.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,205 : 47,452.50 = 47,452.50 : x
  2. Step 2: Convert to fraction form
    29,205/47,452.50 = 47,452.50/x
  3. Step 3: Cross multiply
    29,205x = 47,452.50 × 47,452.50
  4. Step 4: Simplify right side
    29,205x = 2,251,739,756.25
  5. Step 5: Solve for x
    x = 2,251,739,756.25/29,205
  6. Step 6: Final answer
    x = 77,101.17

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.