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Finding the Third Proportional to 16,073.44 and 24,656.63

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Solution

The third proportional to 16,073.44 and 24,656.63 is: 37,823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,073.44 : 24,656.63 = 24,656.63 : x
  2. Step 2: Convert to fraction form
    16,073.44/24,656.63 = 24,656.63/x
  3. Step 3: Cross multiply
    16,073.44x = 24,656.63 × 24,656.63
  4. Step 4: Simplify right side
    16,073.44x = 607,949,156.39
  5. Step 5: Solve for x
    x = 607,949,156.39/16,073.44
  6. Step 6: Final answer
    x = 37,823.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.