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Finding the Third Proportional to 15,858.50 and 34,153

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Solution

The third proportional to 15,858.50 and 34,153 is: 73,552.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,858.50 : 34,153 = 34,153 : x
  2. Step 2: Convert to fraction form
    15,858.50/34,153 = 34,153/x
  3. Step 3: Cross multiply
    15,858.50x = 34,153 × 34,153
  4. Step 4: Simplify right side
    15,858.50x = 1,166,427,409
  5. Step 5: Solve for x
    x = 1,166,427,409/15,858.50
  6. Step 6: Final answer
    x = 73,552.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.