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Finding the Third Proportional to 22,878.38 and 48,672.38

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Solution

The third proportional to 22,878.38 and 48,672.38 is: 103,547.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,878.38 : 48,672.38 = 48,672.38 : x
  2. Step 2: Convert to fraction form
    22,878.38/48,672.38 = 48,672.38/x
  3. Step 3: Cross multiply
    22,878.38x = 48,672.38 × 48,672.38
  4. Step 4: Simplify right side
    22,878.38x = 2,369,000,088.14
  5. Step 5: Solve for x
    x = 2,369,000,088.14/22,878.38
  6. Step 6: Final answer
    x = 103,547.57

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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.