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Finding the Third Proportional to 15,404.06 and 31,538.06

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Solution

The third proportional to 15,404.06 and 31,538.06 is: 64,570.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,404.06 : 31,538.06 = 31,538.06 : x
  2. Step 2: Convert to fraction form
    15,404.06/31,538.06 = 31,538.06/x
  3. Step 3: Cross multiply
    15,404.06x = 31,538.06 × 31,538.06
  4. Step 4: Simplify right side
    15,404.06x = 994,649,386.25
  5. Step 5: Solve for x
    x = 994,649,386.25/15,404.06
  6. Step 6: Final answer
    x = 64,570.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.