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Finding the Third Proportional to 1,161.61 and 1,655.91

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Solution

The third proportional to 1,161.61 and 1,655.91 is: 2,360.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.61 : 1,655.91 = 1,655.91 : x
  2. Step 2: Convert to fraction form
    1,161.61/1,655.91 = 1,655.91/x
  3. Step 3: Cross multiply
    1,161.61x = 1,655.91 × 1,655.91
  4. Step 4: Simplify right side
    1,161.61x = 2,742,044.91
  5. Step 5: Solve for x
    x = 2,742,044.91/1,161.61
  6. Step 6: Final answer
    x = 2,360.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.