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Finding the Third Proportional to 1,248.19 and 1,798.03

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Solution

The third proportional to 1,248.19 and 1,798.03 is: 2,590.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.19 : 1,798.03 = 1,798.03 : x
  2. Step 2: Convert to fraction form
    1,248.19/1,798.03 = 1,798.03/x
  3. Step 3: Cross multiply
    1,248.19x = 1,798.03 × 1,798.03
  4. Step 4: Simplify right side
    1,248.19x = 3,232,916.38
  5. Step 5: Solve for x
    x = 3,232,916.38/1,248.19
  6. Step 6: Final answer
    x = 2,590.09

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.