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Finding the Third Proportional to 24,660 and 53,933.63

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Solution

The third proportional to 24,660 and 53,933.63 is: 117,957.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,660 : 53,933.63 = 53,933.63 : x
  2. Step 2: Convert to fraction form
    24,660/53,933.63 = 53,933.63/x
  3. Step 3: Cross multiply
    24,660x = 53,933.63 × 53,933.63
  4. Step 4: Simplify right side
    24,660x = 2,908,835,905.64
  5. Step 5: Solve for x
    x = 2,908,835,905.64/24,660
  6. Step 6: Final answer
    x = 117,957.66

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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.