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Finding the Third Proportional to 30,922.17 and 46,302.26

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Solution

The third proportional to 30,922.17 and 46,302.26 is: 69,332.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,922.17 : 46,302.26 = 46,302.26 : x
  2. Step 2: Convert to fraction form
    30,922.17/46,302.26 = 46,302.26/x
  3. Step 3: Cross multiply
    30,922.17x = 46,302.26 × 46,302.26
  4. Step 4: Simplify right side
    30,922.17x = 2,143,899,078.54
  5. Step 5: Solve for x
    x = 2,143,899,078.54/30,922.17
  6. Step 6: Final answer
    x = 69,332.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.