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Finding the Third Proportional to 16,370 and 24,739

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Solution

The third proportional to 16,370 and 24,739 is: 37,386.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,370 : 24,739 = 24,739 : x
  2. Step 2: Convert to fraction form
    16,370/24,739 = 24,739/x
  3. Step 3: Cross multiply
    16,370x = 24,739 × 24,739
  4. Step 4: Simplify right side
    16,370x = 612,018,121
  5. Step 5: Solve for x
    x = 612,018,121/16,370
  6. Step 6: Final answer
    x = 37,386.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.