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Finding the Third Proportional to 21,421.13 and 34,111.13

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Solution

The third proportional to 21,421.13 and 34,111.13 is: 54,318.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,421.13 : 34,111.13 = 34,111.13 : x
  2. Step 2: Convert to fraction form
    21,421.13/34,111.13 = 34,111.13/x
  3. Step 3: Cross multiply
    21,421.13x = 34,111.13 × 34,111.13
  4. Step 4: Simplify right side
    21,421.13x = 1,163,568,848.77
  5. Step 5: Solve for x
    x = 1,163,568,848.77/21,421.13
  6. Step 6: Final answer
    x = 54,318.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.