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Finding the Third Proportional to 19,116.50 and 39,577

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Solution

The third proportional to 19,116.50 and 39,577 is: 81,936.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,116.50 : 39,577 = 39,577 : x
  2. Step 2: Convert to fraction form
    19,116.50/39,577 = 39,577/x
  3. Step 3: Cross multiply
    19,116.50x = 39,577 × 39,577
  4. Step 4: Simplify right side
    19,116.50x = 1,566,338,929
  5. Step 5: Solve for x
    x = 1,566,338,929/19,116.50
  6. Step 6: Final answer
    x = 81,936.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.