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Finding the Third Proportional to 34,508.53 and 74,454.19

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Solution

The third proportional to 34,508.53 and 74,454.19 is: 160,639.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,508.53 : 74,454.19 = 74,454.19 : x
  2. Step 2: Convert to fraction form
    34,508.53/74,454.19 = 74,454.19/x
  3. Step 3: Cross multiply
    34,508.53x = 74,454.19 × 74,454.19
  4. Step 4: Simplify right side
    34,508.53x = 5,543,426,036.29
  5. Step 5: Solve for x
    x = 5,543,426,036.29/34,508.53
  6. Step 6: Final answer
    x = 160,639.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.