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Finding the Third Proportional to 18,526 and 26,475

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Solution

The third proportional to 18,526 and 26,475 is: 37,834.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,526 : 26,475 = 26,475 : x
  2. Step 2: Convert to fraction form
    18,526/26,475 = 26,475/x
  3. Step 3: Cross multiply
    18,526x = 26,475 × 26,475
  4. Step 4: Simplify right side
    18,526x = 700,925,625
  5. Step 5: Solve for x
    x = 700,925,625/18,526
  6. Step 6: Final answer
    x = 37,834.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.