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Finding the Third Proportional to 10,620 and 18,501.19

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Solution

The third proportional to 10,620 and 18,501.19 is: 32,231.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620 : 18,501.19 = 18,501.19 : x
  2. Step 2: Convert to fraction form
    10,620/18,501.19 = 18,501.19/x
  3. Step 3: Cross multiply
    10,620x = 18,501.19 × 18,501.19
  4. Step 4: Simplify right side
    10,620x = 342,293,938.91
  5. Step 5: Solve for x
    x = 342,293,938.91/10,620
  6. Step 6: Final answer
    x = 32,231.07

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.