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Finding the Third Proportional to 786.59 and 1,161.53

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Solution

The third proportional to 786.59 and 1,161.53 is: 1,715.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.59 : 1,161.53 = 1,161.53 : x
  2. Step 2: Convert to fraction form
    786.59/1,161.53 = 1,161.53/x
  3. Step 3: Cross multiply
    786.59x = 1,161.53 × 1,161.53
  4. Step 4: Simplify right side
    786.59x = 1,349,145.77
  5. Step 5: Solve for x
    x = 1,349,145.77/786.59
  6. Step 6: Final answer
    x = 1,715.19

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.