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Finding the Third Proportional to 4,877.16 and 10,522.41

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Solution

The third proportional to 4,877.16 and 10,522.41 is: 22,701.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.16 : 10,522.41 = 10,522.41 : x
  2. Step 2: Convert to fraction form
    4,877.16/10,522.41 = 10,522.41/x
  3. Step 3: Cross multiply
    4,877.16x = 10,522.41 × 10,522.41
  4. Step 4: Simplify right side
    4,877.16x = 110,721,033.29
  5. Step 5: Solve for x
    x = 110,721,033.29/4,877.16
  6. Step 6: Final answer
    x = 22,701.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.