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Finding the Third Proportional to 29,928.16 and 44,632.74

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Solution

The third proportional to 29,928.16 and 44,632.74 is: 66,562.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,928.16 : 44,632.74 = 44,632.74 : x
  2. Step 2: Convert to fraction form
    29,928.16/44,632.74 = 44,632.74/x
  3. Step 3: Cross multiply
    29,928.16x = 44,632.74 × 44,632.74
  4. Step 4: Simplify right side
    29,928.16x = 1,992,081,500.83
  5. Step 5: Solve for x
    x = 1,992,081,500.83/29,928.16
  6. Step 6: Final answer
    x = 66,562.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.