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Finding the Third Proportional to 30,814 and 46,355

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Solution

The third proportional to 30,814 and 46,355 is: 69,734.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,814 : 46,355 = 46,355 : x
  2. Step 2: Convert to fraction form
    30,814/46,355 = 46,355/x
  3. Step 3: Cross multiply
    30,814x = 46,355 × 46,355
  4. Step 4: Simplify right side
    30,814x = 2,148,786,025
  5. Step 5: Solve for x
    x = 2,148,786,025/30,814
  6. Step 6: Final answer
    x = 69,734.08

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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.