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Finding the Third Proportional to 19,708.50 and 26,553

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Solution

The third proportional to 19,708.50 and 26,553 is: 35,774.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,708.50 : 26,553 = 26,553 : x
  2. Step 2: Convert to fraction form
    19,708.50/26,553 = 26,553/x
  3. Step 3: Cross multiply
    19,708.50x = 26,553 × 26,553
  4. Step 4: Simplify right side
    19,708.50x = 705,061,809
  5. Step 5: Solve for x
    x = 705,061,809/19,708.50
  6. Step 6: Final answer
    x = 35,774.50

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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.