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Finding the Third Proportional to 14,575.50 and 23,859

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Solution

The third proportional to 14,575.50 and 23,859 is: 39,055.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575.50 : 23,859 = 23,859 : x
  2. Step 2: Convert to fraction form
    14,575.50/23,859 = 23,859/x
  3. Step 3: Cross multiply
    14,575.50x = 23,859 × 23,859
  4. Step 4: Simplify right side
    14,575.50x = 569,251,881
  5. Step 5: Solve for x
    x = 569,251,881/14,575.50
  6. Step 6: Final answer
    x = 39,055.39

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.