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Finding the Third Proportional to 29,041.50 and 62,958

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Solution

The third proportional to 29,041.50 and 62,958 is: 136,484.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,041.50 : 62,958 = 62,958 : x
  2. Step 2: Convert to fraction form
    29,041.50/62,958 = 62,958/x
  3. Step 3: Cross multiply
    29,041.50x = 62,958 × 62,958
  4. Step 4: Simplify right side
    29,041.50x = 3,963,709,764
  5. Step 5: Solve for x
    x = 3,963,709,764/29,041.50
  6. Step 6: Final answer
    x = 136,484.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.