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Finding the Third Proportional to 7,258.78 and 15,901.45

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Solution

The third proportional to 7,258.78 and 15,901.45 is: 34,834.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.78 : 15,901.45 = 15,901.45 : x
  2. Step 2: Convert to fraction form
    7,258.78/15,901.45 = 15,901.45/x
  3. Step 3: Cross multiply
    7,258.78x = 15,901.45 × 15,901.45
  4. Step 4: Simplify right side
    7,258.78x = 252,856,211.49
  5. Step 5: Solve for x
    x = 252,856,211.49/7,258.78
  6. Step 6: Final answer
    x = 34,834.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.