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Finding the Third Proportional to 29,913.75 and 65,260.69

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Solution

The third proportional to 29,913.75 and 65,260.69 is: 142,374.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,913.75 : 65,260.69 = 65,260.69 : x
  2. Step 2: Convert to fraction form
    29,913.75/65,260.69 = 65,260.69/x
  3. Step 3: Cross multiply
    29,913.75x = 65,260.69 × 65,260.69
  4. Step 4: Simplify right side
    29,913.75x = 4,258,957,332.97
  5. Step 5: Solve for x
    x = 4,258,957,332.97/29,913.75
  6. Step 6: Final answer
    x = 142,374.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.