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Finding the Third Proportional to 4,744.13 and 8,632.13

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Solution

The third proportional to 4,744.13 and 8,632.13 is: 15,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.13 : 8,632.13 = 8,632.13 : x
  2. Step 2: Convert to fraction form
    4,744.13/8,632.13 = 8,632.13/x
  3. Step 3: Cross multiply
    4,744.13x = 8,632.13 × 8,632.13
  4. Step 4: Simplify right side
    4,744.13x = 74,513,582.02
  5. Step 5: Solve for x
    x = 74,513,582.02/4,744.13
  6. Step 6: Final answer
    x = 15,706.50

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Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.