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Finding the Third Proportional to 19,633.50 and 42,723

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Solution

The third proportional to 19,633.50 and 42,723 is: 92,966.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,633.50 : 42,723 = 42,723 : x
  2. Step 2: Convert to fraction form
    19,633.50/42,723 = 42,723/x
  3. Step 3: Cross multiply
    19,633.50x = 42,723 × 42,723
  4. Step 4: Simplify right side
    19,633.50x = 1,825,254,729
  5. Step 5: Solve for x
    x = 1,825,254,729/19,633.50
  6. Step 6: Final answer
    x = 92,966.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.