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Finding the Third Proportional to 7,258.36 and 15,899.41

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Solution

The third proportional to 7,258.36 and 15,899.41 is: 34,827.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.36 : 15,899.41 = 15,899.41 : x
  2. Step 2: Convert to fraction form
    7,258.36/15,899.41 = 15,899.41/x
  3. Step 3: Cross multiply
    7,258.36x = 15,899.41 × 15,899.41
  4. Step 4: Simplify right side
    7,258.36x = 252,791,367.53
  5. Step 5: Solve for x
    x = 252,791,367.53/7,258.36
  6. Step 6: Final answer
    x = 34,827.62

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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.