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Finding the Third Proportional to 19,070.75 and 41,216.98

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Solution

The third proportional to 19,070.75 and 41,216.98 is: 89,080.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,070.75 : 41,216.98 = 41,216.98 : x
  2. Step 2: Convert to fraction form
    19,070.75/41,216.98 = 41,216.98/x
  3. Step 3: Cross multiply
    19,070.75x = 41,216.98 × 41,216.98
  4. Step 4: Simplify right side
    19,070.75x = 1,698,839,156.95
  5. Step 5: Solve for x
    x = 1,698,839,156.95/19,070.75
  6. Step 6: Final answer
    x = 89,080.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.