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Finding the Third Proportional to 5,047.50 and 5,527.50

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Solution

The third proportional to 5,047.50 and 5,527.50 is: 6,053.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.50 : 5,527.50 = 5,527.50 : x
  2. Step 2: Convert to fraction form
    5,047.50/5,527.50 = 5,527.50/x
  3. Step 3: Cross multiply
    5,047.50x = 5,527.50 × 5,527.50
  4. Step 4: Simplify right side
    5,047.50x = 30,553,256.25
  5. Step 5: Solve for x
    x = 30,553,256.25/5,047.50
  6. Step 6: Final answer
    x = 6,053.15

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.