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Finding the Third Proportional to 11,772.84 and 25,411.22

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Solution

The third proportional to 11,772.84 and 25,411.22 is: 54,849.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.84 : 25,411.22 = 25,411.22 : x
  2. Step 2: Convert to fraction form
    11,772.84/25,411.22 = 25,411.22/x
  3. Step 3: Cross multiply
    11,772.84x = 25,411.22 × 25,411.22
  4. Step 4: Simplify right side
    11,772.84x = 645,730,038.36
  5. Step 5: Solve for x
    x = 645,730,038.36/11,772.84
  6. Step 6: Final answer
    x = 54,849.11

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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.