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Finding the Third Proportional to 41,730 and 91,455

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Solution

The third proportional to 41,730 and 91,455 is: 200,431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,730 : 91,455 = 91,455 : x
  2. Step 2: Convert to fraction form
    41,730/91,455 = 91,455/x
  3. Step 3: Cross multiply
    41,730x = 91,455 × 91,455
  4. Step 4: Simplify right side
    41,730x = 8,364,017,025
  5. Step 5: Solve for x
    x = 8,364,017,025/41,730
  6. Step 6: Final answer
    x = 200,431.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.