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Finding the Third Proportional to 30,805.31 and 66,870.56

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Solution

The third proportional to 30,805.31 and 66,870.56 is: 145,159.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,805.31 : 66,870.56 = 66,870.56 : x
  2. Step 2: Convert to fraction form
    30,805.31/66,870.56 = 66,870.56/x
  3. Step 3: Cross multiply
    30,805.31x = 66,870.56 × 66,870.56
  4. Step 4: Simplify right side
    30,805.31x = 4,471,672,129.07
  5. Step 5: Solve for x
    x = 4,471,672,129.07/30,805.31
  6. Step 6: Final answer
    x = 145,159.12

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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.