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Finding the Third Proportional to 21,530.81 and 34,371.84

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Solution

The third proportional to 21,530.81 and 34,371.84 is: 54,871.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,530.81 : 34,371.84 = 34,371.84 : x
  2. Step 2: Convert to fraction form
    21,530.81/34,371.84 = 34,371.84/x
  3. Step 3: Cross multiply
    21,530.81x = 34,371.84 × 34,371.84
  4. Step 4: Simplify right side
    21,530.81x = 1,181,423,642.77
  5. Step 5: Solve for x
    x = 1,181,423,642.77/21,530.81
  6. Step 6: Final answer
    x = 54,871.30

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.