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Finding the Third Proportional to 40,317 and 87,535.50

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Solution

The third proportional to 40,317 and 87,535.50 is: 190,055.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,317 : 87,535.50 = 87,535.50 : x
  2. Step 2: Convert to fraction form
    40,317/87,535.50 = 87,535.50/x
  3. Step 3: Cross multiply
    40,317x = 87,535.50 × 87,535.50
  4. Step 4: Simplify right side
    40,317x = 7,662,463,760.25
  5. Step 5: Solve for x
    x = 7,662,463,760.25/40,317
  6. Step 6: Final answer
    x = 190,055.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.