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Finding the Third Proportional to 23,681.11 and 51,821.44

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Solution

The third proportional to 23,681.11 and 51,821.44 is: 113,401.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,681.11 : 51,821.44 = 51,821.44 : x
  2. Step 2: Convert to fraction form
    23,681.11/51,821.44 = 51,821.44/x
  3. Step 3: Cross multiply
    23,681.11x = 51,821.44 × 51,821.44
  4. Step 4: Simplify right side
    23,681.11x = 2,685,461,384.57
  5. Step 5: Solve for x
    x = 2,685,461,384.57/23,681.11
  6. Step 6: Final answer
    x = 113,401.00

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Why These Related Problems?

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