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Finding the Third Proportional to 19,764 and 26,628

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Solution

The third proportional to 19,764 and 26,628 is: 35,875.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,764 : 26,628 = 26,628 : x
  2. Step 2: Convert to fraction form
    19,764/26,628 = 26,628/x
  3. Step 3: Cross multiply
    19,764x = 26,628 × 26,628
  4. Step 4: Simplify right side
    19,764x = 709,050,384
  5. Step 5: Solve for x
    x = 709,050,384/19,764
  6. Step 6: Final answer
    x = 35,875.85

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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.