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Finding the Third Proportional to 30,334.75 and 45,926

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Solution

The third proportional to 30,334.75 and 45,926 is: 69,530.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,334.75 : 45,926 = 45,926 : x
  2. Step 2: Convert to fraction form
    30,334.75/45,926 = 45,926/x
  3. Step 3: Cross multiply
    30,334.75x = 45,926 × 45,926
  4. Step 4: Simplify right side
    30,334.75x = 2,109,197,476
  5. Step 5: Solve for x
    x = 2,109,197,476/30,334.75
  6. Step 6: Final answer
    x = 69,530.74

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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.