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Finding the Third Proportional to 2,907 and 4,947.75

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Solution

The third proportional to 2,907 and 4,947.75 is: 8,421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907 : 4,947.75 = 4,947.75 : x
  2. Step 2: Convert to fraction form
    2,907/4,947.75 = 4,947.75/x
  3. Step 3: Cross multiply
    2,907x = 4,947.75 × 4,947.75
  4. Step 4: Simplify right side
    2,907x = 24,480,230.06
  5. Step 5: Solve for x
    x = 24,480,230.06/2,907
  6. Step 6: Final answer
    x = 8,421.13

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.