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Finding the Third Proportional to 2,310.40 and 4,774.57

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Solution

The third proportional to 2,310.40 and 4,774.57 is: 9,866.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.40 : 4,774.57 = 4,774.57 : x
  2. Step 2: Convert to fraction form
    2,310.40/4,774.57 = 4,774.57/x
  3. Step 3: Cross multiply
    2,310.40x = 4,774.57 × 4,774.57
  4. Step 4: Simplify right side
    2,310.40x = 22,796,521.67
  5. Step 5: Solve for x
    x = 22,796,521.67/2,310.40
  6. Step 6: Final answer
    x = 9,866.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.