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Finding the Third Proportional to 1,301.38 and 2,810.69

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Solution

The third proportional to 1,301.38 and 2,810.69 is: 6,070.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.38 : 2,810.69 = 2,810.69 : x
  2. Step 2: Convert to fraction form
    1,301.38/2,810.69 = 2,810.69/x
  3. Step 3: Cross multiply
    1,301.38x = 2,810.69 × 2,810.69
  4. Step 4: Simplify right side
    1,301.38x = 7,899,964.22
  5. Step 5: Solve for x
    x = 7,899,964.22/1,301.38
  6. Step 6: Final answer
    x = 6,070.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.