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Finding the Third Proportional to 1,070.30 and 1,806.26

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Solution

The third proportional to 1,070.30 and 1,806.26 is: 3,048.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.30 : 1,806.26 = 1,806.26 : x
  2. Step 2: Convert to fraction form
    1,070.30/1,806.26 = 1,806.26/x
  3. Step 3: Cross multiply
    1,070.30x = 1,806.26 × 1,806.26
  4. Step 4: Simplify right side
    1,070.30x = 3,262,567.29
  5. Step 5: Solve for x
    x = 3,262,567.29/1,070.30
  6. Step 6: Final answer
    x = 3,048.28

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.