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Finding the Third Proportional to 1,719.35 and 3,712.08

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Solution

The third proportional to 1,719.35 and 3,712.08 is: 8,014.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.35 : 3,712.08 = 3,712.08 : x
  2. Step 2: Convert to fraction form
    1,719.35/3,712.08 = 3,712.08/x
  3. Step 3: Cross multiply
    1,719.35x = 3,712.08 × 3,712.08
  4. Step 4: Simplify right side
    1,719.35x = 13,779,524.01
  5. Step 5: Solve for x
    x = 13,779,524.01/1,719.35
  6. Step 6: Final answer
    x = 8,014.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.