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Finding the Third Proportional to 1,107 and 2,328.75

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Solution

The third proportional to 1,107 and 2,328.75 is: 4,898.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107 : 2,328.75 = 2,328.75 : x
  2. Step 2: Convert to fraction form
    1,107/2,328.75 = 2,328.75/x
  3. Step 3: Cross multiply
    1,107x = 2,328.75 × 2,328.75
  4. Step 4: Simplify right side
    1,107x = 5,423,076.56
  5. Step 5: Solve for x
    x = 5,423,076.56/1,107
  6. Step 6: Final answer
    x = 4,898.89

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.