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Finding the Third Proportional to 19,616.34 and 42,946.03

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Solution

The third proportional to 19,616.34 and 42,946.03 is: 94,021.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,616.34 : 42,946.03 = 42,946.03 : x
  2. Step 2: Convert to fraction form
    19,616.34/42,946.03 = 42,946.03/x
  3. Step 3: Cross multiply
    19,616.34x = 42,946.03 × 42,946.03
  4. Step 4: Simplify right side
    19,616.34x = 1,844,361,600.13
  5. Step 5: Solve for x
    x = 1,844,361,600.13/19,616.34
  6. Step 6: Final answer
    x = 94,021.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.