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Finding the Third Proportional to 34,359.19 and 39,340.69

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Solution

The third proportional to 34,359.19 and 39,340.69 is: 45,044.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,359.19 : 39,340.69 = 39,340.69 : x
  2. Step 2: Convert to fraction form
    34,359.19/39,340.69 = 39,340.69/x
  3. Step 3: Cross multiply
    34,359.19x = 39,340.69 × 39,340.69
  4. Step 4: Simplify right side
    34,359.19x = 1,547,689,692.97
  5. Step 5: Solve for x
    x = 1,547,689,692.97/34,359.19
  6. Step 6: Final answer
    x = 45,044.42

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.