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Finding the Third Proportional to 11,342.93 and 24,653.58

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Solution

The third proportional to 11,342.93 and 24,653.58 is: 53,583.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.93 : 24,653.58 = 24,653.58 : x
  2. Step 2: Convert to fraction form
    11,342.93/24,653.58 = 24,653.58/x
  3. Step 3: Cross multiply
    11,342.93x = 24,653.58 × 24,653.58
  4. Step 4: Simplify right side
    11,342.93x = 607,799,203.27
  5. Step 5: Solve for x
    x = 607,799,203.27/11,342.93
  6. Step 6: Final answer
    x = 53,583.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.