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Finding the Third Proportional to 4,165.31 and 8,870.06

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Solution

The third proportional to 4,165.31 and 8,870.06 is: 18,888.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.31 : 8,870.06 = 8,870.06 : x
  2. Step 2: Convert to fraction form
    4,165.31/8,870.06 = 8,870.06/x
  3. Step 3: Cross multiply
    4,165.31x = 8,870.06 × 8,870.06
  4. Step 4: Simplify right side
    4,165.31x = 78,678,008.75
  5. Step 5: Solve for x
    x = 78,678,008.75/4,165.31
  6. Step 6: Final answer
    x = 18,888.86

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.