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Finding the Third Proportional to 34,315.88 and 74,423.25

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Solution

The third proportional to 34,315.88 and 74,423.25 is: 161,406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,315.88 : 74,423.25 = 74,423.25 : x
  2. Step 2: Convert to fraction form
    34,315.88/74,423.25 = 74,423.25/x
  3. Step 3: Cross multiply
    34,315.88x = 74,423.25 × 74,423.25
  4. Step 4: Simplify right side
    34,315.88x = 5,538,820,140.56
  5. Step 5: Solve for x
    x = 5,538,820,140.56/34,315.88
  6. Step 6: Final answer
    x = 161,406.93

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.