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Finding the Third Proportional to 40,307.25 and 87,783

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Solution

The third proportional to 40,307.25 and 87,783 is: 191,177.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,307.25 : 87,783 = 87,783 : x
  2. Step 2: Convert to fraction form
    40,307.25/87,783 = 87,783/x
  3. Step 3: Cross multiply
    40,307.25x = 87,783 × 87,783
  4. Step 4: Simplify right side
    40,307.25x = 7,705,855,089
  5. Step 5: Solve for x
    x = 7,705,855,089/40,307.25
  6. Step 6: Final answer
    x = 191,177.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.