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Finding the Third Proportional to 29,311.88 and 45,415.69

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Solution

The third proportional to 29,311.88 and 45,415.69 is: 70,366.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,311.88 : 45,415.69 = 45,415.69 : x
  2. Step 2: Convert to fraction form
    29,311.88/45,415.69 = 45,415.69/x
  3. Step 3: Cross multiply
    29,311.88x = 45,415.69 × 45,415.69
  4. Step 4: Simplify right side
    29,311.88x = 2,062,584,671.10
  5. Step 5: Solve for x
    x = 2,062,584,671.10/29,311.88
  6. Step 6: Final answer
    x = 70,366.86

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