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Finding the Third Proportional to 965.63 and 1,498.13

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Solution

The third proportional to 965.63 and 1,498.13 is: 2,324.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.63 : 1,498.13 = 1,498.13 : x
  2. Step 2: Convert to fraction form
    965.63/1,498.13 = 1,498.13/x
  3. Step 3: Cross multiply
    965.63x = 1,498.13 × 1,498.13
  4. Step 4: Simplify right side
    965.63x = 2,244,378.52
  5. Step 5: Solve for x
    x = 2,244,378.52/965.63
  6. Step 6: Final answer
    x = 2,324.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.