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Finding the Third Proportional to 15,064.50 and 31,227

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Solution

The third proportional to 15,064.50 and 31,227 is: 64,730.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,064.50 : 31,227 = 31,227 : x
  2. Step 2: Convert to fraction form
    15,064.50/31,227 = 31,227/x
  3. Step 3: Cross multiply
    15,064.50x = 31,227 × 31,227
  4. Step 4: Simplify right side
    15,064.50x = 975,125,529
  5. Step 5: Solve for x
    x = 975,125,529/15,064.50
  6. Step 6: Final answer
    x = 64,730.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.