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Finding the Third Proportional to 21,289.78 and 43,946.16

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Solution

The third proportional to 21,289.78 and 43,946.16 is: 90,713.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,289.78 : 43,946.16 = 43,946.16 : x
  2. Step 2: Convert to fraction form
    21,289.78/43,946.16 = 43,946.16/x
  3. Step 3: Cross multiply
    21,289.78x = 43,946.16 × 43,946.16
  4. Step 4: Simplify right side
    21,289.78x = 1,931,264,649.15
  5. Step 5: Solve for x
    x = 1,931,264,649.15/21,289.78
  6. Step 6: Final answer
    x = 90,713.22

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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.