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Finding the Third Proportional to 22,006.69 and 48,045.38

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Solution

The third proportional to 22,006.69 and 48,045.38 is: 104,893.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,006.69 : 48,045.38 = 48,045.38 : x
  2. Step 2: Convert to fraction form
    22,006.69/48,045.38 = 48,045.38/x
  3. Step 3: Cross multiply
    22,006.69x = 48,045.38 × 48,045.38
  4. Step 4: Simplify right side
    22,006.69x = 2,308,358,058.89
  5. Step 5: Solve for x
    x = 2,308,358,058.89/22,006.69
  6. Step 6: Final answer
    x = 104,893.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.