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Finding the Third Proportional to 10,069 and 15,715.50

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Solution

The third proportional to 10,069 and 15,715.50 is: 24,528.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069 : 15,715.50 = 15,715.50 : x
  2. Step 2: Convert to fraction form
    10,069/15,715.50 = 15,715.50/x
  3. Step 3: Cross multiply
    10,069x = 15,715.50 × 15,715.50
  4. Step 4: Simplify right side
    10,069x = 246,976,940.25
  5. Step 5: Solve for x
    x = 246,976,940.25/10,069
  6. Step 6: Final answer
    x = 24,528.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.