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Finding the Third Proportional to 1,048.50 and 2,308.50

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Solution

The third proportional to 1,048.50 and 2,308.50 is: 5,082.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.50 : 2,308.50 = 2,308.50 : x
  2. Step 2: Convert to fraction form
    1,048.50/2,308.50 = 2,308.50/x
  3. Step 3: Cross multiply
    1,048.50x = 2,308.50 × 2,308.50
  4. Step 4: Simplify right side
    1,048.50x = 5,329,172.25
  5. Step 5: Solve for x
    x = 5,329,172.25/1,048.50
  6. Step 6: Final answer
    x = 5,082.66

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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.