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Finding the Third Proportional to 29,103.05 and 47,572.95

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Solution

The third proportional to 29,103.05 and 47,572.95 is: 77,764.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,103.05 : 47,572.95 = 47,572.95 : x
  2. Step 2: Convert to fraction form
    29,103.05/47,572.95 = 47,572.95/x
  3. Step 3: Cross multiply
    29,103.05x = 47,572.95 × 47,572.95
  4. Step 4: Simplify right side
    29,103.05x = 2,263,185,125.71
  5. Step 5: Solve for x
    x = 2,263,185,125.71/29,103.05
  6. Step 6: Final answer
    x = 77,764.54

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.