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Finding the Third Proportional to 15,697 and 23,705.50

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Solution

The third proportional to 15,697 and 23,705.50 is: 35,799.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697 : 23,705.50 = 23,705.50 : x
  2. Step 2: Convert to fraction form
    15,697/23,705.50 = 23,705.50/x
  3. Step 3: Cross multiply
    15,697x = 23,705.50 × 23,705.50
  4. Step 4: Simplify right side
    15,697x = 561,950,730.25
  5. Step 5: Solve for x
    x = 561,950,730.25/15,697
  6. Step 6: Final answer
    x = 35,799.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.