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Finding the Third Proportional to 4,688.30 and 7,019.16

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Solution

The third proportional to 4,688.30 and 7,019.16 is: 10,508.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688.30 : 7,019.16 = 7,019.16 : x
  2. Step 2: Convert to fraction form
    4,688.30/7,019.16 = 7,019.16/x
  3. Step 3: Cross multiply
    4,688.30x = 7,019.16 × 7,019.16
  4. Step 4: Simplify right side
    4,688.30x = 49,268,554.46
  5. Step 5: Solve for x
    x = 49,268,554.46/4,688.30
  6. Step 6: Final answer
    x = 10,508.84

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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.