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Finding the Third Proportional to 15,009 and 31,004

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Solution

The third proportional to 15,009 and 31,004 is: 64,044.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,009 : 31,004 = 31,004 : x
  2. Step 2: Convert to fraction form
    15,009/31,004 = 31,004/x
  3. Step 3: Cross multiply
    15,009x = 31,004 × 31,004
  4. Step 4: Simplify right side
    15,009x = 961,248,016
  5. Step 5: Solve for x
    x = 961,248,016/15,009
  6. Step 6: Final answer
    x = 64,044.77

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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.