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Finding the Third Proportional to 20,946.94 and 45,585.28

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Solution

The third proportional to 20,946.94 and 45,585.28 is: 99,203.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,946.94 : 45,585.28 = 45,585.28 : x
  2. Step 2: Convert to fraction form
    20,946.94/45,585.28 = 45,585.28/x
  3. Step 3: Cross multiply
    20,946.94x = 45,585.28 × 45,585.28
  4. Step 4: Simplify right side
    20,946.94x = 2,078,017,866.64
  5. Step 5: Solve for x
    x = 2,078,017,866.64/20,946.94
  6. Step 6: Final answer
    x = 99,203.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.