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Finding the Third Proportional to 1,765.55 and 4,789.76

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Solution

The third proportional to 1,765.55 and 4,789.76 is: 12,994.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.55 : 4,789.76 = 4,789.76 : x
  2. Step 2: Convert to fraction form
    1,765.55/4,789.76 = 4,789.76/x
  3. Step 3: Cross multiply
    1,765.55x = 4,789.76 × 4,789.76
  4. Step 4: Simplify right side
    1,765.55x = 22,941,779.90
  5. Step 5: Solve for x
    x = 22,941,779.90/1,765.55
  6. Step 6: Final answer
    x = 12,994.15

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These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.