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Finding the Third Proportional to 7,056.50 and 15,086

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Solution

The third proportional to 7,056.50 and 15,086 is: 32,252.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056.50 : 15,086 = 15,086 : x
  2. Step 2: Convert to fraction form
    7,056.50/15,086 = 15,086/x
  3. Step 3: Cross multiply
    7,056.50x = 15,086 × 15,086
  4. Step 4: Simplify right side
    7,056.50x = 227,587,396
  5. Step 5: Solve for x
    x = 227,587,396/7,056.50
  6. Step 6: Final answer
    x = 32,252.16

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.