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Finding the Third Proportional to 15,009 and 32,345.25

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Solution

The third proportional to 15,009 and 32,345.25 is: 69,705.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,009 : 32,345.25 = 32,345.25 : x
  2. Step 2: Convert to fraction form
    15,009/32,345.25 = 32,345.25/x
  3. Step 3: Cross multiply
    15,009x = 32,345.25 × 32,345.25
  4. Step 4: Simplify right side
    15,009x = 1,046,215,197.56
  5. Step 5: Solve for x
    x = 1,046,215,197.56/15,009
  6. Step 6: Final answer
    x = 69,705.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.