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Finding the Third Proportional to 5,258.25 and 7,360.88

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Solution

The third proportional to 5,258.25 and 7,360.88 is: 10,304.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.25 : 7,360.88 = 7,360.88 : x
  2. Step 2: Convert to fraction form
    5,258.25/7,360.88 = 7,360.88/x
  3. Step 3: Cross multiply
    5,258.25x = 7,360.88 × 7,360.88
  4. Step 4: Simplify right side
    5,258.25x = 54,182,480.77
  5. Step 5: Solve for x
    x = 54,182,480.77/5,258.25
  6. Step 6: Final answer
    x = 10,304.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.