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Finding the Third Proportional to 21,349.13 and 45,857.25

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Solution

The third proportional to 21,349.13 and 45,857.25 is: 98,499.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,349.13 : 45,857.25 = 45,857.25 : x
  2. Step 2: Convert to fraction form
    21,349.13/45,857.25 = 45,857.25/x
  3. Step 3: Cross multiply
    21,349.13x = 45,857.25 × 45,857.25
  4. Step 4: Simplify right side
    21,349.13x = 2,102,887,377.56
  5. Step 5: Solve for x
    x = 2,102,887,377.56/21,349.13
  6. Step 6: Final answer
    x = 98,499.93

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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.