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Finding the Third Proportional to 39,306 and 55,562

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Solution

The third proportional to 39,306 and 55,562 is: 78,541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,306 : 55,562 = 55,562 : x
  2. Step 2: Convert to fraction form
    39,306/55,562 = 55,562/x
  3. Step 3: Cross multiply
    39,306x = 55,562 × 55,562
  4. Step 4: Simplify right side
    39,306x = 3,087,135,844
  5. Step 5: Solve for x
    x = 3,087,135,844/39,306
  6. Step 6: Final answer
    x = 78,541.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.