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Finding the Third Proportional to 39,447 and 61,109.44

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Solution

The third proportional to 39,447 and 61,109.44 is: 94,667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,447 : 61,109.44 = 61,109.44 : x
  2. Step 2: Convert to fraction form
    39,447/61,109.44 = 61,109.44/x
  3. Step 3: Cross multiply
    39,447x = 61,109.44 × 61,109.44
  4. Step 4: Simplify right side
    39,447x = 3,734,363,351.57
  5. Step 5: Solve for x
    x = 3,734,363,351.57/39,447
  6. Step 6: Final answer
    x = 94,667.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.