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Finding the Third Proportional to 29,972.25 and 46,568.25

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Solution

The third proportional to 29,972.25 and 46,568.25 is: 72,353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,972.25 : 46,568.25 = 46,568.25 : x
  2. Step 2: Convert to fraction form
    29,972.25/46,568.25 = 46,568.25/x
  3. Step 3: Cross multiply
    29,972.25x = 46,568.25 × 46,568.25
  4. Step 4: Simplify right side
    29,972.25x = 2,168,601,908.06
  5. Step 5: Solve for x
    x = 2,168,601,908.06/29,972.25
  6. Step 6: Final answer
    x = 72,353.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.