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Finding the Third Proportional to 19,726 and 26,664

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Solution

The third proportional to 19,726 and 26,664 is: 36,042.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,726 : 26,664 = 26,664 : x
  2. Step 2: Convert to fraction form
    19,726/26,664 = 26,664/x
  3. Step 3: Cross multiply
    19,726x = 26,664 × 26,664
  4. Step 4: Simplify right side
    19,726x = 710,968,896
  5. Step 5: Solve for x
    x = 710,968,896/19,726
  6. Step 6: Final answer
    x = 36,042.22

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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.