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Finding the Third Proportional to 4,689.75 and 7,271.06

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Solution

The third proportional to 4,689.75 and 7,271.06 is: 11,273.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.75 : 7,271.06 = 7,271.06 : x
  2. Step 2: Convert to fraction form
    4,689.75/7,271.06 = 7,271.06/x
  3. Step 3: Cross multiply
    4,689.75x = 7,271.06 × 7,271.06
  4. Step 4: Simplify right side
    4,689.75x = 52,868,349.88
  5. Step 5: Solve for x
    x = 52,868,349.88/4,689.75
  6. Step 6: Final answer
    x = 11,273.17

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