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Finding the Third Proportional to 4,215.96 and 6,170.16

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Solution

The third proportional to 4,215.96 and 6,170.16 is: 9,030.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.96 : 6,170.16 = 6,170.16 : x
  2. Step 2: Convert to fraction form
    4,215.96/6,170.16 = 6,170.16/x
  3. Step 3: Cross multiply
    4,215.96x = 6,170.16 × 6,170.16
  4. Step 4: Simplify right side
    4,215.96x = 38,070,864.30
  5. Step 5: Solve for x
    x = 38,070,864.30/4,215.96
  6. Step 6: Final answer
    x = 9,030.19

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.