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Finding the Third Proportional to 26,358.75 and 56,869.38

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Solution

The third proportional to 26,358.75 and 56,869.38 is: 122,696.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,358.75 : 56,869.38 = 56,869.38 : x
  2. Step 2: Convert to fraction form
    26,358.75/56,869.38 = 56,869.38/x
  3. Step 3: Cross multiply
    26,358.75x = 56,869.38 × 56,869.38
  4. Step 4: Simplify right side
    26,358.75x = 3,234,125,812.89
  5. Step 5: Solve for x
    x = 3,234,125,812.89/26,358.75
  6. Step 6: Final answer
    x = 122,696.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.