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Finding the Third Proportional to 25,197 and 38,526

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Solution

The third proportional to 25,197 and 38,526 is: 58,905.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,197 : 38,526 = 38,526 : x
  2. Step 2: Convert to fraction form
    25,197/38,526 = 38,526/x
  3. Step 3: Cross multiply
    25,197x = 38,526 × 38,526
  4. Step 4: Simplify right side
    25,197x = 1,484,252,676
  5. Step 5: Solve for x
    x = 1,484,252,676/25,197
  6. Step 6: Final answer
    x = 58,905.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.