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Finding the Third Proportional to 19,827 and 26,915

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Solution

The third proportional to 19,827 and 26,915 is: 36,536.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,827 : 26,915 = 26,915 : x
  2. Step 2: Convert to fraction form
    19,827/26,915 = 26,915/x
  3. Step 3: Cross multiply
    19,827x = 26,915 × 26,915
  4. Step 4: Simplify right side
    19,827x = 724,417,225
  5. Step 5: Solve for x
    x = 724,417,225/19,827
  6. Step 6: Final answer
    x = 36,536.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.