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Finding the Third Proportional to 30,126 and 45,098

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Solution

The third proportional to 30,126 and 45,098 is: 67,510.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,126 : 45,098 = 45,098 : x
  2. Step 2: Convert to fraction form
    30,126/45,098 = 45,098/x
  3. Step 3: Cross multiply
    30,126x = 45,098 × 45,098
  4. Step 4: Simplify right side
    30,126x = 2,033,829,604
  5. Step 5: Solve for x
    x = 2,033,829,604/30,126
  6. Step 6: Final answer
    x = 67,510.77

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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.