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Finding the Third Proportional to 39,127 and 55,750.50

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Solution

The third proportional to 39,127 and 55,750.50 is: 79,436.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,127 : 55,750.50 = 55,750.50 : x
  2. Step 2: Convert to fraction form
    39,127/55,750.50 = 55,750.50/x
  3. Step 3: Cross multiply
    39,127x = 55,750.50 × 55,750.50
  4. Step 4: Simplify right side
    39,127x = 3,108,118,250.25
  5. Step 5: Solve for x
    x = 3,108,118,250.25/39,127
  6. Step 6: Final answer
    x = 79,436.66

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.