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Finding the Third Proportional to 2,434.90 and 5,258.99

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Solution

The third proportional to 2,434.90 and 5,258.99 is: 11,358.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.90 : 5,258.99 = 5,258.99 : x
  2. Step 2: Convert to fraction form
    2,434.90/5,258.99 = 5,258.99/x
  3. Step 3: Cross multiply
    2,434.90x = 5,258.99 × 5,258.99
  4. Step 4: Simplify right side
    2,434.90x = 27,656,957.74
  5. Step 5: Solve for x
    x = 27,656,957.74/2,434.90
  6. Step 6: Final answer
    x = 11,358.54

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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.