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Finding the Third Proportional to 786.75 and 1,264.13

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Solution

The third proportional to 786.75 and 1,264.13 is: 2,031.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.75 : 1,264.13 = 1,264.13 : x
  2. Step 2: Convert to fraction form
    786.75/1,264.13 = 1,264.13/x
  3. Step 3: Cross multiply
    786.75x = 1,264.13 × 1,264.13
  4. Step 4: Simplify right side
    786.75x = 1,598,012.02
  5. Step 5: Solve for x
    x = 1,598,012.02/786.75
  6. Step 6: Final answer
    x = 2,031.16

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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.