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Finding the Third Proportional to 10,575.56 and 24,479.72

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Solution

The third proportional to 10,575.56 and 24,479.72 is: 56,664.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.56 : 24,479.72 = 24,479.72 : x
  2. Step 2: Convert to fraction form
    10,575.56/24,479.72 = 24,479.72/x
  3. Step 3: Cross multiply
    10,575.56x = 24,479.72 × 24,479.72
  4. Step 4: Simplify right side
    10,575.56x = 599,256,630.08
  5. Step 5: Solve for x
    x = 599,256,630.08/10,575.56
  6. Step 6: Final answer
    x = 56,664.28

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.