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Finding the Third Proportional to 29,601.70 and 45,497.95

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Solution

The third proportional to 29,601.70 and 45,497.95 is: 69,930.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,601.70 : 45,497.95 = 45,497.95 : x
  2. Step 2: Convert to fraction form
    29,601.70/45,497.95 = 45,497.95/x
  3. Step 3: Cross multiply
    29,601.70x = 45,497.95 × 45,497.95
  4. Step 4: Simplify right side
    29,601.70x = 2,070,063,738.56
  5. Step 5: Solve for x
    x = 2,070,063,738.56/29,601.70
  6. Step 6: Final answer
    x = 69,930.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.