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Finding the Third Proportional to 4,693.50 and 6,896.25

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Solution

The third proportional to 4,693.50 and 6,896.25 is: 10,132.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.50 : 6,896.25 = 6,896.25 : x
  2. Step 2: Convert to fraction form
    4,693.50/6,896.25 = 6,896.25/x
  3. Step 3: Cross multiply
    4,693.50x = 6,896.25 × 6,896.25
  4. Step 4: Simplify right side
    4,693.50x = 47,558,264.06
  5. Step 5: Solve for x
    x = 47,558,264.06/4,693.50
  6. Step 6: Final answer
    x = 10,132.79

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.