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Finding the Third Proportional to 1,031.48 and 1,656.07

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Solution

The third proportional to 1,031.48 and 1,656.07 is: 2,658.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.48 : 1,656.07 = 1,656.07 : x
  2. Step 2: Convert to fraction form
    1,031.48/1,656.07 = 1,656.07/x
  3. Step 3: Cross multiply
    1,031.48x = 1,656.07 × 1,656.07
  4. Step 4: Simplify right side
    1,031.48x = 2,742,568.88
  5. Step 5: Solve for x
    x = 2,742,568.88/1,031.48
  6. Step 6: Final answer
    x = 2,658.86

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.