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Finding the Third Proportional to 4,947.75 and 10,587.94

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Solution

The third proportional to 4,947.75 and 10,587.94 is: 22,657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.75 : 10,587.94 = 10,587.94 : x
  2. Step 2: Convert to fraction form
    4,947.75/10,587.94 = 10,587.94/x
  3. Step 3: Cross multiply
    4,947.75x = 10,587.94 × 10,587.94
  4. Step 4: Simplify right side
    4,947.75x = 112,104,420.50
  5. Step 5: Solve for x
    x = 112,104,420.50/4,947.75
  6. Step 6: Final answer
    x = 22,657.66

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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.