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Finding the Third Proportional to 40,290.75 and 63,527.63

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Solution

The third proportional to 40,290.75 and 63,527.63 is: 100,165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,290.75 : 63,527.63 = 63,527.63 : x
  2. Step 2: Convert to fraction form
    40,290.75/63,527.63 = 63,527.63/x
  3. Step 3: Cross multiply
    40,290.75x = 63,527.63 × 63,527.63
  4. Step 4: Simplify right side
    40,290.75x = 4,035,759,138.14
  5. Step 5: Solve for x
    x = 4,035,759,138.14/40,290.75
  6. Step 6: Final answer
    x = 100,165.90

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.