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Finding the Third Proportional to 12,107.81 and 25,045.88

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Solution

The third proportional to 12,107.81 and 25,045.88 is: 51,809.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.81 : 25,045.88 = 25,045.88 : x
  2. Step 2: Convert to fraction form
    12,107.81/25,045.88 = 25,045.88/x
  3. Step 3: Cross multiply
    12,107.81x = 25,045.88 × 25,045.88
  4. Step 4: Simplify right side
    12,107.81x = 627,295,854.52
  5. Step 5: Solve for x
    x = 627,295,854.52/12,107.81
  6. Step 6: Final answer
    x = 51,809.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.