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Finding the Third Proportional to 19,742 and 26,594

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Solution

The third proportional to 19,742 and 26,594 is: 35,824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,742 : 26,594 = 26,594 : x
  2. Step 2: Convert to fraction form
    19,742/26,594 = 26,594/x
  3. Step 3: Cross multiply
    19,742x = 26,594 × 26,594
  4. Step 4: Simplify right side
    19,742x = 707,240,836
  5. Step 5: Solve for x
    x = 707,240,836/19,742
  6. Step 6: Final answer
    x = 35,824.17

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.