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Finding the Third Proportional to 12,754.13 and 29,649.38

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Solution

The third proportional to 12,754.13 and 29,649.38 is: 68,925.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,754.13 : 29,649.38 = 29,649.38 : x
  2. Step 2: Convert to fraction form
    12,754.13/29,649.38 = 29,649.38/x
  3. Step 3: Cross multiply
    12,754.13x = 29,649.38 × 29,649.38
  4. Step 4: Simplify right side
    12,754.13x = 879,085,437.89
  5. Step 5: Solve for x
    x = 879,085,437.89/12,754.13
  6. Step 6: Final answer
    x = 68,925.58

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.