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Finding the Third Proportional to 21,713.06 and 47,582.44

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Solution

The third proportional to 21,713.06 and 47,582.44 is: 104,273.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,713.06 : 47,582.44 = 47,582.44 : x
  2. Step 2: Convert to fraction form
    21,713.06/47,582.44 = 47,582.44/x
  3. Step 3: Cross multiply
    21,713.06x = 47,582.44 × 47,582.44
  4. Step 4: Simplify right side
    21,713.06x = 2,264,088,358.44
  5. Step 5: Solve for x
    x = 2,264,088,358.44/21,713.06
  6. Step 6: Final answer
    x = 104,273.10

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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.