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Finding the Third Proportional to 787 and 2,113

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Solution

The third proportional to 787 and 2,113 is: 5,673.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    787 : 2,113 = 2,113 : x
  2. Step 2: Convert to fraction form
    787/2,113 = 2,113/x
  3. Step 3: Cross multiply
    787x = 2,113 × 2,113
  4. Step 4: Simplify right side
    787x = 4,464,769
  5. Step 5: Solve for x
    x = 4,464,769/787
  6. Step 6: Final answer
    x = 5,673.15

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Why These Related Problems?

These problems maintain the same ratio (2.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.