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Finding the Third Proportional to 19,504.13 and 45,506.81

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Solution

The third proportional to 19,504.13 and 45,506.81 is: 106,176.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,504.13 : 45,506.81 = 45,506.81 : x
  2. Step 2: Convert to fraction form
    19,504.13/45,506.81 = 45,506.81/x
  3. Step 3: Cross multiply
    19,504.13x = 45,506.81 × 45,506.81
  4. Step 4: Simplify right side
    19,504.13x = 2,070,869,983.91
  5. Step 5: Solve for x
    x = 2,070,869,983.91/19,504.13
  6. Step 6: Final answer
    x = 106,176.00

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.