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Finding the Third Proportional to 21,905.23 and 47,864.46

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Solution

The third proportional to 21,905.23 and 47,864.46 is: 104,587.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,905.23 : 47,864.46 = 47,864.46 : x
  2. Step 2: Convert to fraction form
    21,905.23/47,864.46 = 47,864.46/x
  3. Step 3: Cross multiply
    21,905.23x = 47,864.46 × 47,864.46
  4. Step 4: Simplify right side
    21,905.23x = 2,291,006,620.84
  5. Step 5: Solve for x
    x = 2,291,006,620.84/21,905.23
  6. Step 6: Final answer
    x = 104,587.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.