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Finding the Third Proportional to 30,524 and 46,214

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Solution

The third proportional to 30,524 and 46,214 is: 69,969.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,524 : 46,214 = 46,214 : x
  2. Step 2: Convert to fraction form
    30,524/46,214 = 46,214/x
  3. Step 3: Cross multiply
    30,524x = 46,214 × 46,214
  4. Step 4: Simplify right side
    30,524x = 2,135,733,796
  5. Step 5: Solve for x
    x = 2,135,733,796/30,524
  6. Step 6: Final answer
    x = 69,969.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.