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Finding the Third Proportional to 21,659.25 and 47,024.25

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Solution

The third proportional to 21,659.25 and 47,024.25 is: 102,094.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,659.25 : 47,024.25 = 47,024.25 : x
  2. Step 2: Convert to fraction form
    21,659.25/47,024.25 = 47,024.25/x
  3. Step 3: Cross multiply
    21,659.25x = 47,024.25 × 47,024.25
  4. Step 4: Simplify right side
    21,659.25x = 2,211,280,088.06
  5. Step 5: Solve for x
    x = 2,211,280,088.06/21,659.25
  6. Step 6: Final answer
    x = 102,094.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.