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Finding the Third Proportional to 20,002.50 and 42,463.50

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Solution

The third proportional to 20,002.50 and 42,463.50 is: 90,146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,002.50 : 42,463.50 = 42,463.50 : x
  2. Step 2: Convert to fraction form
    20,002.50/42,463.50 = 42,463.50/x
  3. Step 3: Cross multiply
    20,002.50x = 42,463.50 × 42,463.50
  4. Step 4: Simplify right side
    20,002.50x = 1,803,148,832.25
  5. Step 5: Solve for x
    x = 1,803,148,832.25/20,002.50
  6. Step 6: Final answer
    x = 90,146.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.