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Finding the Third Proportional to 15,921 and 23,071.50

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Solution

The third proportional to 15,921 and 23,071.50 is: 33,433.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,921 : 23,071.50 = 23,071.50 : x
  2. Step 2: Convert to fraction form
    15,921/23,071.50 = 23,071.50/x
  3. Step 3: Cross multiply
    15,921x = 23,071.50 × 23,071.50
  4. Step 4: Simplify right side
    15,921x = 532,294,112.25
  5. Step 5: Solve for x
    x = 532,294,112.25/15,921
  6. Step 6: Final answer
    x = 33,433.46

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.