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Finding the Third Proportional to 8,953.88 and 21,061.69

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Solution

The third proportional to 8,953.88 and 21,061.69 is: 49,542.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,953.88 : 21,061.69 = 21,061.69 : x
  2. Step 2: Convert to fraction form
    8,953.88/21,061.69 = 21,061.69/x
  3. Step 3: Cross multiply
    8,953.88x = 21,061.69 × 21,061.69
  4. Step 4: Simplify right side
    8,953.88x = 443,594,680.35
  5. Step 5: Solve for x
    x = 443,594,680.35/8,953.88
  6. Step 6: Final answer
    x = 49,542.20

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.