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Finding the Third Proportional to 21,713.06 and 34,409.81

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Solution

The third proportional to 21,713.06 and 34,409.81 is: 54,531.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,713.06 : 34,409.81 = 34,409.81 : x
  2. Step 2: Convert to fraction form
    21,713.06/34,409.81 = 34,409.81/x
  3. Step 3: Cross multiply
    21,713.06x = 34,409.81 × 34,409.81
  4. Step 4: Simplify right side
    21,713.06x = 1,184,035,196.29
  5. Step 5: Solve for x
    x = 1,184,035,196.29/21,713.06
  6. Step 6: Final answer
    x = 54,531.01

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.