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Finding the Third Proportional to 15,494.63 and 31,906.69

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Solution

The third proportional to 15,494.63 and 31,906.69 is: 65,702.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,494.63 : 31,906.69 = 31,906.69 : x
  2. Step 2: Convert to fraction form
    15,494.63/31,906.69 = 31,906.69/x
  3. Step 3: Cross multiply
    15,494.63x = 31,906.69 × 31,906.69
  4. Step 4: Simplify right side
    15,494.63x = 1,018,036,707.22
  5. Step 5: Solve for x
    x = 1,018,036,707.22/15,494.63
  6. Step 6: Final answer
    x = 65,702.57

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.