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Finding the Third Proportional to 39,420 and 59,950.13

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Solution

The third proportional to 39,420 and 59,950.13 is: 91,172.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,420 : 59,950.13 = 59,950.13 : x
  2. Step 2: Convert to fraction form
    39,420/59,950.13 = 59,950.13/x
  3. Step 3: Cross multiply
    39,420x = 59,950.13 × 59,950.13
  4. Step 4: Simplify right side
    39,420x = 3,594,017,487.52
  5. Step 5: Solve for x
    x = 3,594,017,487.52/39,420
  6. Step 6: Final answer
    x = 91,172.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.