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Finding the Third Proportional to 1,111.50 and 1,731.94

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Solution

The third proportional to 1,111.50 and 1,731.94 is: 2,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.50 : 1,731.94 = 1,731.94 : x
  2. Step 2: Convert to fraction form
    1,111.50/1,731.94 = 1,731.94/x
  3. Step 3: Cross multiply
    1,111.50x = 1,731.94 × 1,731.94
  4. Step 4: Simplify right side
    1,111.50x = 2,999,607.50
  5. Step 5: Solve for x
    x = 2,999,607.50/1,111.50
  6. Step 6: Final answer
    x = 2,698.70

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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.