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Finding the Third Proportional to 1,070.44 and 1,651.31

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Solution

The third proportional to 1,070.44 and 1,651.31 is: 2,547.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.44 : 1,651.31 = 1,651.31 : x
  2. Step 2: Convert to fraction form
    1,070.44/1,651.31 = 1,651.31/x
  3. Step 3: Cross multiply
    1,070.44x = 1,651.31 × 1,651.31
  4. Step 4: Simplify right side
    1,070.44x = 2,726,832.97
  5. Step 5: Solve for x
    x = 2,726,832.97/1,070.44
  6. Step 6: Final answer
    x = 2,547.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.