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Finding the Third Proportional to 19,657.50 and 26,190

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Solution

The third proportional to 19,657.50 and 26,190 is: 34,893.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,657.50 : 26,190 = 26,190 : x
  2. Step 2: Convert to fraction form
    19,657.50/26,190 = 26,190/x
  3. Step 3: Cross multiply
    19,657.50x = 26,190 × 26,190
  4. Step 4: Simplify right side
    19,657.50x = 685,916,100
  5. Step 5: Solve for x
    x = 685,916,100/19,657.50
  6. Step 6: Final answer
    x = 34,893.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.