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Finding the Third Proportional to 16,850 and 26,915

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Solution

The third proportional to 16,850 and 26,915 is: 42,992.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,850 : 26,915 = 26,915 : x
  2. Step 2: Convert to fraction form
    16,850/26,915 = 26,915/x
  3. Step 3: Cross multiply
    16,850x = 26,915 × 26,915
  4. Step 4: Simplify right side
    16,850x = 724,417,225
  5. Step 5: Solve for x
    x = 724,417,225/16,850
  6. Step 6: Final answer
    x = 42,992.12

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.