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Finding the Third Proportional to 2,981.25 and 6,482.53

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Solution

The third proportional to 2,981.25 and 6,482.53 is: 14,095.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.25 : 6,482.53 = 6,482.53 : x
  2. Step 2: Convert to fraction form
    2,981.25/6,482.53 = 6,482.53/x
  3. Step 3: Cross multiply
    2,981.25x = 6,482.53 × 6,482.53
  4. Step 4: Simplify right side
    2,981.25x = 42,023,211.41
  5. Step 5: Solve for x
    x = 42,023,211.41/2,981.25
  6. Step 6: Final answer
    x = 14,095.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.