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Finding the Third Proportional to 1,346.91 and 1,968.12

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Solution

The third proportional to 1,346.91 and 1,968.12 is: 2,875.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.91 : 1,968.12 = 1,968.12 : x
  2. Step 2: Convert to fraction form
    1,346.91/1,968.12 = 1,968.12/x
  3. Step 3: Cross multiply
    1,346.91x = 1,968.12 × 1,968.12
  4. Step 4: Simplify right side
    1,346.91x = 3,873,485.26
  5. Step 5: Solve for x
    x = 3,873,485.26/1,346.91
  6. Step 6: Final answer
    x = 2,875.84

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.