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Finding the Third Proportional to 25,206.19 and 39,340.69

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Solution

The third proportional to 25,206.19 and 39,340.69 is: 61,401.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,206.19 : 39,340.69 = 39,340.69 : x
  2. Step 2: Convert to fraction form
    25,206.19/39,340.69 = 39,340.69/x
  3. Step 3: Cross multiply
    25,206.19x = 39,340.69 × 39,340.69
  4. Step 4: Simplify right side
    25,206.19x = 1,547,689,692.97
  5. Step 5: Solve for x
    x = 1,547,689,692.97/25,206.19
  6. Step 6: Final answer
    x = 61,401.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.