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Finding the Third Proportional to 1,148.34 and 1,719.35

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Solution

The third proportional to 1,148.34 and 1,719.35 is: 2,574.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.34 : 1,719.35 = 1,719.35 : x
  2. Step 2: Convert to fraction form
    1,148.34/1,719.35 = 1,719.35/x
  3. Step 3: Cross multiply
    1,148.34x = 1,719.35 × 1,719.35
  4. Step 4: Simplify right side
    1,148.34x = 2,956,169.80
  5. Step 5: Solve for x
    x = 2,956,169.80/1,148.34
  6. Step 6: Final answer
    x = 2,574.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.