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Finding the Third Proportional to 4,648.50 and 6,981.75

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Solution

The third proportional to 4,648.50 and 6,981.75 is: 10,486.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.50 : 6,981.75 = 6,981.75 : x
  2. Step 2: Convert to fraction form
    4,648.50/6,981.75 = 6,981.75/x
  3. Step 3: Cross multiply
    4,648.50x = 6,981.75 × 6,981.75
  4. Step 4: Simplify right side
    4,648.50x = 48,744,833.06
  5. Step 5: Solve for x
    x = 48,744,833.06/4,648.50
  6. Step 6: Final answer
    x = 10,486.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.