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Finding the Third Proportional to 19,688.06 and 30,261.09

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Solution

The third proportional to 19,688.06 and 30,261.09 is: 46,512.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,688.06 : 30,261.09 = 30,261.09 : x
  2. Step 2: Convert to fraction form
    19,688.06/30,261.09 = 30,261.09/x
  3. Step 3: Cross multiply
    19,688.06x = 30,261.09 × 30,261.09
  4. Step 4: Simplify right side
    19,688.06x = 915,733,794.95
  5. Step 5: Solve for x
    x = 915,733,794.95/19,688.06
  6. Step 6: Final answer
    x = 46,512.13

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.