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Finding the Third Proportional to 10,735.13 and 22,897.13

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Solution

The third proportional to 10,735.13 and 22,897.13 is: 48,837.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.13 : 22,897.13 = 22,897.13 : x
  2. Step 2: Convert to fraction form
    10,735.13/22,897.13 = 22,897.13/x
  3. Step 3: Cross multiply
    10,735.13x = 22,897.13 × 22,897.13
  4. Step 4: Simplify right side
    10,735.13x = 524,278,333.27
  5. Step 5: Solve for x
    x = 524,278,333.27/10,735.13
  6. Step 6: Final answer
    x = 48,837.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.