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Finding the Third Proportional to 1,031.91 and 1,556.30

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Solution

The third proportional to 1,031.91 and 1,556.30 is: 2,347.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.91 : 1,556.30 = 1,556.30 : x
  2. Step 2: Convert to fraction form
    1,031.91/1,556.30 = 1,556.30/x
  3. Step 3: Cross multiply
    1,031.91x = 1,556.30 × 1,556.30
  4. Step 4: Simplify right side
    1,031.91x = 2,422,059.96
  5. Step 5: Solve for x
    x = 2,422,059.96/1,031.91
  6. Step 6: Final answer
    x = 2,347.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.