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Finding the Third Proportional to 21,317.24 and 45,233.75

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Solution

The third proportional to 21,317.24 and 45,233.75 is: 95,983.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,317.24 : 45,233.75 = 45,233.75 : x
  2. Step 2: Convert to fraction form
    21,317.24/45,233.75 = 45,233.75/x
  3. Step 3: Cross multiply
    21,317.24x = 45,233.75 × 45,233.75
  4. Step 4: Simplify right side
    21,317.24x = 2,046,092,492.45
  5. Step 5: Solve for x
    x = 2,046,092,492.45/21,317.24
  6. Step 6: Final answer
    x = 95,983.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.