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Finding the Third Proportional to 10,029 and 15,298.50

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Solution

The third proportional to 10,029 and 15,298.50 is: 23,336.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029 : 15,298.50 = 15,298.50 : x
  2. Step 2: Convert to fraction form
    10,029/15,298.50 = 15,298.50/x
  3. Step 3: Cross multiply
    10,029x = 15,298.50 × 15,298.50
  4. Step 4: Simplify right side
    10,029x = 234,044,102.25
  5. Step 5: Solve for x
    x = 234,044,102.25/10,029
  6. Step 6: Final answer
    x = 23,336.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.