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Finding the Third Proportional to 1,044 and 2,293.50

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Solution

The third proportional to 1,044 and 2,293.50 is: 5,038.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044 : 2,293.50 = 2,293.50 : x
  2. Step 2: Convert to fraction form
    1,044/2,293.50 = 2,293.50/x
  3. Step 3: Cross multiply
    1,044x = 2,293.50 × 2,293.50
  4. Step 4: Simplify right side
    1,044x = 5,260,142.25
  5. Step 5: Solve for x
    x = 5,260,142.25/1,044
  6. Step 6: Final answer
    x = 5,038.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.