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Finding the Third Proportional to 22,297.78 and 32,653.13

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Solution

The third proportional to 22,297.78 and 32,653.13 is: 47,817.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,297.78 : 32,653.13 = 32,653.13 : x
  2. Step 2: Convert to fraction form
    22,297.78/32,653.13 = 32,653.13/x
  3. Step 3: Cross multiply
    22,297.78x = 32,653.13 × 32,653.13
  4. Step 4: Simplify right side
    22,297.78x = 1,066,226,572.27
  5. Step 5: Solve for x
    x = 1,066,226,572.27/22,297.78
  6. Step 6: Final answer
    x = 47,817.61

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.