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Finding the Third Proportional to 16,370 and 23,887

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Solution

The third proportional to 16,370 and 23,887 is: 34,855.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,370 : 23,887 = 23,887 : x
  2. Step 2: Convert to fraction form
    16,370/23,887 = 23,887/x
  3. Step 3: Cross multiply
    16,370x = 23,887 × 23,887
  4. Step 4: Simplify right side
    16,370x = 570,588,769
  5. Step 5: Solve for x
    x = 570,588,769/16,370
  6. Step 6: Final answer
    x = 34,855.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.