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Finding the Third Proportional to 15,196.36 and 24,416.30

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Solution

The third proportional to 15,196.36 and 24,416.30 is: 39,230.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,196.36 : 24,416.30 = 24,416.30 : x
  2. Step 2: Convert to fraction form
    15,196.36/24,416.30 = 24,416.30/x
  3. Step 3: Cross multiply
    15,196.36x = 24,416.30 × 24,416.30
  4. Step 4: Simplify right side
    15,196.36x = 596,155,553.09
  5. Step 5: Solve for x
    x = 596,155,553.09/15,196.36
  6. Step 6: Final answer
    x = 39,230.16

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.