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Finding the Third Proportional to 19,835 and 26,925

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Solution

The third proportional to 19,835 and 26,925 is: 36,549.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,835 : 26,925 = 26,925 : x
  2. Step 2: Convert to fraction form
    19,835/26,925 = 26,925/x
  3. Step 3: Cross multiply
    19,835x = 26,925 × 26,925
  4. Step 4: Simplify right side
    19,835x = 724,955,625
  5. Step 5: Solve for x
    x = 724,955,625/19,835
  6. Step 6: Final answer
    x = 36,549.31

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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.