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Finding the Third Proportional to 24,904.50 and 53,958

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Solution

The third proportional to 24,904.50 and 53,958 is: 116,905.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,904.50 : 53,958 = 53,958 : x
  2. Step 2: Convert to fraction form
    24,904.50/53,958 = 53,958/x
  3. Step 3: Cross multiply
    24,904.50x = 53,958 × 53,958
  4. Step 4: Simplify right side
    24,904.50x = 2,911,465,764
  5. Step 5: Solve for x
    x = 2,911,465,764/24,904.50
  6. Step 6: Final answer
    x = 116,905.21

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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.