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Finding the Third Proportional to 12,264.38 and 26,488.50

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Solution

The third proportional to 12,264.38 and 26,488.50 is: 57,209.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,264.38 : 26,488.50 = 26,488.50 : x
  2. Step 2: Convert to fraction form
    12,264.38/26,488.50 = 26,488.50/x
  3. Step 3: Cross multiply
    12,264.38x = 26,488.50 × 26,488.50
  4. Step 4: Simplify right side
    12,264.38x = 701,640,632.25
  5. Step 5: Solve for x
    x = 701,640,632.25/12,264.38
  6. Step 6: Final answer
    x = 57,209.65

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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.