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Finding the Third Proportional to 34,278.19 and 39,259.69

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Solution

The third proportional to 34,278.19 and 39,259.69 is: 44,965.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,278.19 : 39,259.69 = 39,259.69 : x
  2. Step 2: Convert to fraction form
    34,278.19/39,259.69 = 39,259.69/x
  3. Step 3: Cross multiply
    34,278.19x = 39,259.69 × 39,259.69
  4. Step 4: Simplify right side
    34,278.19x = 1,541,323,062.60
  5. Step 5: Solve for x
    x = 1,541,323,062.60/34,278.19
  6. Step 6: Final answer
    x = 44,965.13

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.