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Finding the Third Proportional to 21,069.88 and 45,266.44

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Solution

The third proportional to 21,069.88 and 45,266.44 is: 97,250.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,069.88 : 45,266.44 = 45,266.44 : x
  2. Step 2: Convert to fraction form
    21,069.88/45,266.44 = 45,266.44/x
  3. Step 3: Cross multiply
    21,069.88x = 45,266.44 × 45,266.44
  4. Step 4: Simplify right side
    21,069.88x = 2,049,050,363.94
  5. Step 5: Solve for x
    x = 2,049,050,363.94/21,069.88
  6. Step 6: Final answer
    x = 97,250.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.