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Finding the Third Proportional to 1,070.30 and 2,248.17

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Solution

The third proportional to 1,070.30 and 2,248.17 is: 4,722.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.30 : 2,248.17 = 2,248.17 : x
  2. Step 2: Convert to fraction form
    1,070.30/2,248.17 = 2,248.17/x
  3. Step 3: Cross multiply
    1,070.30x = 2,248.17 × 2,248.17
  4. Step 4: Simplify right side
    1,070.30x = 5,054,276.78
  5. Step 5: Solve for x
    x = 5,054,276.78/1,070.30
  6. Step 6: Final answer
    x = 4,722.31

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.