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Finding the Third Proportional to 2,870.44 and 6,219.28

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Solution

The third proportional to 2,870.44 and 6,219.28 is: 13,475.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.44 : 6,219.28 = 6,219.28 : x
  2. Step 2: Convert to fraction form
    2,870.44/6,219.28 = 6,219.28/x
  3. Step 3: Cross multiply
    2,870.44x = 6,219.28 × 6,219.28
  4. Step 4: Simplify right side
    2,870.44x = 38,679,459.27
  5. Step 5: Solve for x
    x = 38,679,459.27/2,870.44
  6. Step 6: Final answer
    x = 13,475.11

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Why These Related Problems?

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