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Finding the Third Proportional to 9,647.44 and 21,070.13

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Solution

The third proportional to 9,647.44 and 21,070.13 is: 46,017.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.44 : 21,070.13 = 21,070.13 : x
  2. Step 2: Convert to fraction form
    9,647.44/21,070.13 = 21,070.13/x
  3. Step 3: Cross multiply
    9,647.44x = 21,070.13 × 21,070.13
  4. Step 4: Simplify right side
    9,647.44x = 443,950,167.52
  5. Step 5: Solve for x
    x = 443,950,167.52/9,647.44
  6. Step 6: Final answer
    x = 46,017.42

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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.