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Finding the Third Proportional to 4,632 and 10,604

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Solution

The third proportional to 4,632 and 10,604 is: 24,275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632 : 10,604 = 10,604 : x
  2. Step 2: Convert to fraction form
    4,632/10,604 = 10,604/x
  3. Step 3: Cross multiply
    4,632x = 10,604 × 10,604
  4. Step 4: Simplify right side
    4,632x = 112,444,816
  5. Step 5: Solve for x
    x = 112,444,816/4,632
  6. Step 6: Final answer
    x = 24,275.65

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.