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Finding the Third Proportional to 30,177 and 45,767

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Solution

The third proportional to 30,177 and 45,767 is: 69,411.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,177 : 45,767 = 45,767 : x
  2. Step 2: Convert to fraction form
    30,177/45,767 = 45,767/x
  3. Step 3: Cross multiply
    30,177x = 45,767 × 45,767
  4. Step 4: Simplify right side
    30,177x = 2,094,618,289
  5. Step 5: Solve for x
    x = 2,094,618,289/30,177
  6. Step 6: Final answer
    x = 69,411.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.