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Finding the Third Proportional to 39,948.75 and 86,126.63

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Solution

The third proportional to 39,948.75 and 86,126.63 is: 185,682.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,948.75 : 86,126.63 = 86,126.63 : x
  2. Step 2: Convert to fraction form
    39,948.75/86,126.63 = 86,126.63/x
  3. Step 3: Cross multiply
    39,948.75x = 86,126.63 × 86,126.63
  4. Step 4: Simplify right side
    39,948.75x = 7,417,795,533.89
  5. Step 5: Solve for x
    x = 7,417,795,533.89/39,948.75
  6. Step 6: Final answer
    x = 185,682.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.