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Finding the Third Proportional to 15,877.97 and 34,995.38

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Solution

The third proportional to 15,877.97 and 34,995.38 is: 77,130.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,877.97 : 34,995.38 = 34,995.38 : x
  2. Step 2: Convert to fraction form
    15,877.97/34,995.38 = 34,995.38/x
  3. Step 3: Cross multiply
    15,877.97x = 34,995.38 × 34,995.38
  4. Step 4: Simplify right side
    15,877.97x = 1,224,676,271.39
  5. Step 5: Solve for x
    x = 1,224,676,271.39/15,877.97
  6. Step 6: Final answer
    x = 77,130.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.