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Finding the Third Proportional to 15,953 and 23,773.50

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Solution

The third proportional to 15,953 and 23,773.50 is: 35,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,953 : 23,773.50 = 23,773.50 : x
  2. Step 2: Convert to fraction form
    15,953/23,773.50 = 23,773.50/x
  3. Step 3: Cross multiply
    15,953x = 23,773.50 × 23,773.50
  4. Step 4: Simplify right side
    15,953x = 565,179,302.25
  5. Step 5: Solve for x
    x = 565,179,302.25/15,953
  6. Step 6: Final answer
    x = 35,427.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.