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Finding the Third Proportional to 21,494.81 and 34,822.13

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Solution

The third proportional to 21,494.81 and 34,822.13 is: 56,412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,494.81 : 34,822.13 = 34,822.13 : x
  2. Step 2: Convert to fraction form
    21,494.81/34,822.13 = 34,822.13/x
  3. Step 3: Cross multiply
    21,494.81x = 34,822.13 × 34,822.13
  4. Step 4: Simplify right side
    21,494.81x = 1,212,580,389.52
  5. Step 5: Solve for x
    x = 1,212,580,389.52/21,494.81
  6. Step 6: Final answer
    x = 56,412.70

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.