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Finding the Third Proportional to 30,177 and 45,537

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Solution

The third proportional to 30,177 and 45,537 is: 68,715.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,177 : 45,537 = 45,537 : x
  2. Step 2: Convert to fraction form
    30,177/45,537 = 45,537/x
  3. Step 3: Cross multiply
    30,177x = 45,537 × 45,537
  4. Step 4: Simplify right side
    30,177x = 2,073,618,369
  5. Step 5: Solve for x
    x = 2,073,618,369/30,177
  6. Step 6: Final answer
    x = 68,715.19

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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.