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Finding the Third Proportional to 3,119.63 and 4,678.88

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Solution

The third proportional to 3,119.63 and 4,678.88 is: 7,017.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.63 : 4,678.88 = 4,678.88 : x
  2. Step 2: Convert to fraction form
    3,119.63/4,678.88 = 4,678.88/x
  3. Step 3: Cross multiply
    3,119.63x = 4,678.88 × 4,678.88
  4. Step 4: Simplify right side
    3,119.63x = 21,891,871.27
  5. Step 5: Solve for x
    x = 21,891,871.27/3,119.63
  6. Step 6: Final answer
    x = 7,017.47

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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.