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Finding the Third Proportional to 40,394.25 and 63,532.13

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Solution

The third proportional to 40,394.25 and 63,532.13 is: 99,923.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,394.25 : 63,532.13 = 63,532.13 : x
  2. Step 2: Convert to fraction form
    40,394.25/63,532.13 = 63,532.13/x
  3. Step 3: Cross multiply
    40,394.25x = 63,532.13 × 63,532.13
  4. Step 4: Simplify right side
    40,394.25x = 4,036,330,907.02
  5. Step 5: Solve for x
    x = 4,036,330,907.02/40,394.25
  6. Step 6: Final answer
    x = 99,923.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.