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Finding the Third Proportional to 5,509.13 and 8,528.06

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Solution

The third proportional to 5,509.13 and 8,528.06 is: 13,201.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.13 : 8,528.06 = 8,528.06 : x
  2. Step 2: Convert to fraction form
    5,509.13/8,528.06 = 8,528.06/x
  3. Step 3: Cross multiply
    5,509.13x = 8,528.06 × 8,528.06
  4. Step 4: Simplify right side
    5,509.13x = 72,727,850.00
  5. Step 5: Solve for x
    x = 72,727,850.00/5,509.13
  6. Step 6: Final answer
    x = 13,201.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.