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Finding the Third Proportional to 19,774.13 and 24,031.69

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Solution

The third proportional to 19,774.13 and 24,031.69 is: 29,205.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.13 : 24,031.69 = 24,031.69 : x
  2. Step 2: Convert to fraction form
    19,774.13/24,031.69 = 24,031.69/x
  3. Step 3: Cross multiply
    19,774.13x = 24,031.69 × 24,031.69
  4. Step 4: Simplify right side
    19,774.13x = 577,522,004.10
  5. Step 5: Solve for x
    x = 577,522,004.10/19,774.13
  6. Step 6: Final answer
    x = 29,205.94

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.