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Finding the Third Proportional to 2,284.88 and 4,916.81

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Solution

The third proportional to 2,284.88 and 4,916.81 is: 10,580.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.88 : 4,916.81 = 4,916.81 : x
  2. Step 2: Convert to fraction form
    2,284.88/4,916.81 = 4,916.81/x
  3. Step 3: Cross multiply
    2,284.88x = 4,916.81 × 4,916.81
  4. Step 4: Simplify right side
    2,284.88x = 24,175,045.16
  5. Step 5: Solve for x
    x = 24,175,045.16/2,284.88
  6. Step 6: Final answer
    x = 10,580.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.