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Finding the Third Proportional to 36,700.59 and 97,731.56

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Solution

The third proportional to 36,700.59 and 97,731.56 is: 260,253.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,700.59 : 97,731.56 = 97,731.56 : x
  2. Step 2: Convert to fraction form
    36,700.59/97,731.56 = 97,731.56/x
  3. Step 3: Cross multiply
    36,700.59x = 97,731.56 × 97,731.56
  4. Step 4: Simplify right side
    36,700.59x = 9,551,458,308.69
  5. Step 5: Solve for x
    x = 9,551,458,308.69/36,700.59
  6. Step 6: Final answer
    x = 260,253.51

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Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.