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Finding the Third Proportional to 21,773.06 and 31,819.35

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Solution

The third proportional to 21,773.06 and 31,819.35 is: 46,501.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,773.06 : 31,819.35 = 31,819.35 : x
  2. Step 2: Convert to fraction form
    21,773.06/31,819.35 = 31,819.35/x
  3. Step 3: Cross multiply
    21,773.06x = 31,819.35 × 31,819.35
  4. Step 4: Simplify right side
    21,773.06x = 1,012,471,351.37
  5. Step 5: Solve for x
    x = 1,012,471,351.37/21,773.06
  6. Step 6: Final answer
    x = 46,501.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.