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Finding the Third Proportional to 21,498.75 and 45,623.25

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Solution

The third proportional to 21,498.75 and 45,623.25 is: 96,818.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,498.75 : 45,623.25 = 45,623.25 : x
  2. Step 2: Convert to fraction form
    21,498.75/45,623.25 = 45,623.25/x
  3. Step 3: Cross multiply
    21,498.75x = 45,623.25 × 45,623.25
  4. Step 4: Simplify right side
    21,498.75x = 2,081,480,940.56
  5. Step 5: Solve for x
    x = 2,081,480,940.56/21,498.75
  6. Step 6: Final answer
    x = 96,818.70

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