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Finding the Third Proportional to 1,109.95 and 1,730.74

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Solution

The third proportional to 1,109.95 and 1,730.74 is: 2,698.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.95 : 1,730.74 = 1,730.74 : x
  2. Step 2: Convert to fraction form
    1,109.95/1,730.74 = 1,730.74/x
  3. Step 3: Cross multiply
    1,109.95x = 1,730.74 × 1,730.74
  4. Step 4: Simplify right side
    1,109.95x = 2,995,468.52
  5. Step 5: Solve for x
    x = 2,995,468.52/1,109.95
  6. Step 6: Final answer
    x = 2,698.73

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.