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Finding the Third Proportional to 24,553.50 and 53,605

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Solution

The third proportional to 24,553.50 and 53,605 is: 117,030.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,553.50 : 53,605 = 53,605 : x
  2. Step 2: Convert to fraction form
    24,553.50/53,605 = 53,605/x
  3. Step 3: Cross multiply
    24,553.50x = 53,605 × 53,605
  4. Step 4: Simplify right side
    24,553.50x = 2,873,496,025
  5. Step 5: Solve for x
    x = 2,873,496,025/24,553.50
  6. Step 6: Final answer
    x = 117,030.00

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Why These Related Problems?

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