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Finding the Third Proportional to 18,126 and 48,802.50

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Solution

The third proportional to 18,126 and 48,802.50 is: 131,396.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,126 : 48,802.50 = 48,802.50 : x
  2. Step 2: Convert to fraction form
    18,126/48,802.50 = 48,802.50/x
  3. Step 3: Cross multiply
    18,126x = 48,802.50 × 48,802.50
  4. Step 4: Simplify right side
    18,126x = 2,381,684,006.25
  5. Step 5: Solve for x
    x = 2,381,684,006.25/18,126
  6. Step 6: Final answer
    x = 131,396.01

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.