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Finding the Third Proportional to 10,897.88 and 22,384.69

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Solution

The third proportional to 10,897.88 and 22,384.69 is: 45,979.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.88 : 22,384.69 = 22,384.69 : x
  2. Step 2: Convert to fraction form
    10,897.88/22,384.69 = 22,384.69/x
  3. Step 3: Cross multiply
    10,897.88x = 22,384.69 × 22,384.69
  4. Step 4: Simplify right side
    10,897.88x = 501,074,234.47
  5. Step 5: Solve for x
    x = 501,074,234.47/10,897.88
  6. Step 6: Final answer
    x = 45,979.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.