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Finding the Third Proportional to 788.91 and 1,861.52

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Solution

The third proportional to 788.91 and 1,861.52 is: 4,392.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.91 : 1,861.52 = 1,861.52 : x
  2. Step 2: Convert to fraction form
    788.91/1,861.52 = 1,861.52/x
  3. Step 3: Cross multiply
    788.91x = 1,861.52 × 1,861.52
  4. Step 4: Simplify right side
    788.91x = 3,465,269.51
  5. Step 5: Solve for x
    x = 3,465,269.51/788.91
  6. Step 6: Final answer
    x = 4,392.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.