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Finding the Third Proportional to 52,407.50 and 83,041

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Solution

The third proportional to 52,407.50 and 83,041 is: 131,580.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,407.50 : 83,041 = 83,041 : x
  2. Step 2: Convert to fraction form
    52,407.50/83,041 = 83,041/x
  3. Step 3: Cross multiply
    52,407.50x = 83,041 × 83,041
  4. Step 4: Simplify right side
    52,407.50x = 6,895,807,681
  5. Step 5: Solve for x
    x = 6,895,807,681/52,407.50
  6. Step 6: Final answer
    x = 131,580.55

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.