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Finding the Third Proportional to 4,701.38 and 7,258.78

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Solution

The third proportional to 4,701.38 and 7,258.78 is: 11,207.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.38 : 7,258.78 = 7,258.78 : x
  2. Step 2: Convert to fraction form
    4,701.38/7,258.78 = 7,258.78/x
  3. Step 3: Cross multiply
    4,701.38x = 7,258.78 × 7,258.78
  4. Step 4: Simplify right side
    4,701.38x = 52,689,905.24
  5. Step 5: Solve for x
    x = 52,689,905.24/4,701.38
  6. Step 6: Final answer
    x = 11,207.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.