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Finding the Third Proportional to 22,963.50 and 25,196.06

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Solution

The third proportional to 22,963.50 and 25,196.06 is: 27,645.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,963.50 : 25,196.06 = 25,196.06 : x
  2. Step 2: Convert to fraction form
    22,963.50/25,196.06 = 25,196.06/x
  3. Step 3: Cross multiply
    22,963.50x = 25,196.06 × 25,196.06
  4. Step 4: Simplify right side
    22,963.50x = 634,841,565.50
  5. Step 5: Solve for x
    x = 634,841,565.50/22,963.50
  6. Step 6: Final answer
    x = 27,645.68

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.