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Finding the Third Proportional to 38,610 and 83,734.88

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Solution

The third proportional to 38,610 and 83,734.88 is: 181,598.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,610 : 83,734.88 = 83,734.88 : x
  2. Step 2: Convert to fraction form
    38,610/83,734.88 = 83,734.88/x
  3. Step 3: Cross multiply
    38,610x = 83,734.88 × 83,734.88
  4. Step 4: Simplify right side
    38,610x = 7,011,529,291.27
  5. Step 5: Solve for x
    x = 7,011,529,291.27/38,610
  6. Step 6: Final answer
    x = 181,598.79

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