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Finding the Third Proportional to 23,646.27 and 39,410.45

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Solution

The third proportional to 23,646.27 and 39,410.45 is: 65,684.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,646.27 : 39,410.45 = 39,410.45 : x
  2. Step 2: Convert to fraction form
    23,646.27/39,410.45 = 39,410.45/x
  3. Step 3: Cross multiply
    23,646.27x = 39,410.45 × 39,410.45
  4. Step 4: Simplify right side
    23,646.27x = 1,553,183,579.79
  5. Step 5: Solve for x
    x = 1,553,183,579.79/23,646.27
  6. Step 6: Final answer
    x = 65,684.08

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.