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Finding the Third Proportional to 34,939.50 and 75,411.50

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Solution

The third proportional to 34,939.50 and 75,411.50 is: 162,764.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,939.50 : 75,411.50 = 75,411.50 : x
  2. Step 2: Convert to fraction form
    34,939.50/75,411.50 = 75,411.50/x
  3. Step 3: Cross multiply
    34,939.50x = 75,411.50 × 75,411.50
  4. Step 4: Simplify right side
    34,939.50x = 5,686,894,332.25
  5. Step 5: Solve for x
    x = 5,686,894,332.25/34,939.50
  6. Step 6: Final answer
    x = 162,764.04

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