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Finding the Third Proportional to 1,030.31 and 2,197.31

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Solution

The third proportional to 1,030.31 and 2,197.31 is: 4,686.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.31 : 2,197.31 = 2,197.31 : x
  2. Step 2: Convert to fraction form
    1,030.31/2,197.31 = 2,197.31/x
  3. Step 3: Cross multiply
    1,030.31x = 2,197.31 × 2,197.31
  4. Step 4: Simplify right side
    1,030.31x = 4,828,182.22
  5. Step 5: Solve for x
    x = 4,828,182.22/1,030.31
  6. Step 6: Final answer
    x = 4,686.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.