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Finding the Third Proportional to 10,058.31 and 22,085.69

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Solution

The third proportional to 10,058.31 and 22,085.69 is: 48,494.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.31 : 22,085.69 = 22,085.69 : x
  2. Step 2: Convert to fraction form
    10,058.31/22,085.69 = 22,085.69/x
  3. Step 3: Cross multiply
    10,058.31x = 22,085.69 × 22,085.69
  4. Step 4: Simplify right side
    10,058.31x = 487,777,592.35
  5. Step 5: Solve for x
    x = 487,777,592.35/10,058.31
  6. Step 6: Final answer
    x = 48,494.97

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.