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Finding the Third Proportional to 10,445 and 24,647.75

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Solution

The third proportional to 10,445 and 24,647.75 is: 58,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,445 : 24,647.75 = 24,647.75 : x
  2. Step 2: Convert to fraction form
    10,445/24,647.75 = 24,647.75/x
  3. Step 3: Cross multiply
    10,445x = 24,647.75 × 24,647.75
  4. Step 4: Simplify right side
    10,445x = 607,511,580.06
  5. Step 5: Solve for x
    x = 607,511,580.06/10,445
  6. Step 6: Final answer
    x = 58,162.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.