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Finding the Third Proportional to 10,479.38 and 24,482.25

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Solution

The third proportional to 10,479.38 and 24,482.25 is: 57,196.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,479.38 : 24,482.25 = 24,482.25 : x
  2. Step 2: Convert to fraction form
    10,479.38/24,482.25 = 24,482.25/x
  3. Step 3: Cross multiply
    10,479.38x = 24,482.25 × 24,482.25
  4. Step 4: Simplify right side
    10,479.38x = 599,380,565.06
  5. Step 5: Solve for x
    x = 599,380,565.06/10,479.38
  6. Step 6: Final answer
    x = 57,196.21

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.