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Finding the Third Proportional to 21,216.23 and 45,877.97

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Solution

The third proportional to 21,216.23 and 45,877.97 is: 99,206.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,216.23 : 45,877.97 = 45,877.97 : x
  2. Step 2: Convert to fraction form
    21,216.23/45,877.97 = 45,877.97/x
  3. Step 3: Cross multiply
    21,216.23x = 45,877.97 × 45,877.97
  4. Step 4: Simplify right side
    21,216.23x = 2,104,788,016.63
  5. Step 5: Solve for x
    x = 2,104,788,016.63/21,216.23
  6. Step 6: Final answer
    x = 99,206.48

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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.