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Finding the Third Proportional to 19,577 and 26,224

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Solution

The third proportional to 19,577 and 26,224 is: 35,127.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,577 : 26,224 = 26,224 : x
  2. Step 2: Convert to fraction form
    19,577/26,224 = 26,224/x
  3. Step 3: Cross multiply
    19,577x = 26,224 × 26,224
  4. Step 4: Simplify right side
    19,577x = 687,698,176
  5. Step 5: Solve for x
    x = 687,698,176/19,577
  6. Step 6: Final answer
    x = 35,127.86

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.