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Finding the Third Proportional to 10,935 and 24,072.19

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Solution

The third proportional to 10,935 and 24,072.19 is: 52,992.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,935 : 24,072.19 = 24,072.19 : x
  2. Step 2: Convert to fraction form
    10,935/24,072.19 = 24,072.19/x
  3. Step 3: Cross multiply
    10,935x = 24,072.19 × 24,072.19
  4. Step 4: Simplify right side
    10,935x = 579,470,211.04
  5. Step 5: Solve for x
    x = 579,470,211.04/10,935
  6. Step 6: Final answer
    x = 52,992.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.