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Finding the Third Proportional to 19,561.50 and 42,707

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Solution

The third proportional to 19,561.50 and 42,707 is: 93,238.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,561.50 : 42,707 = 42,707 : x
  2. Step 2: Convert to fraction form
    19,561.50/42,707 = 42,707/x
  3. Step 3: Cross multiply
    19,561.50x = 42,707 × 42,707
  4. Step 4: Simplify right side
    19,561.50x = 1,823,887,849
  5. Step 5: Solve for x
    x = 1,823,887,849/19,561.50
  6. Step 6: Final answer
    x = 93,238.65

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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.