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Finding the Third Proportional to 29,316.38 and 45,422.63

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Solution

The third proportional to 29,316.38 and 45,422.63 is: 70,377.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,316.38 : 45,422.63 = 45,422.63 : x
  2. Step 2: Convert to fraction form
    29,316.38/45,422.63 = 45,422.63/x
  3. Step 3: Cross multiply
    29,316.38x = 45,422.63 × 45,422.63
  4. Step 4: Simplify right side
    29,316.38x = 2,063,214,861.89
  5. Step 5: Solve for x
    x = 2,063,214,861.89/29,316.38
  6. Step 6: Final answer
    x = 70,377.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.