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Finding the Third Proportional to 24,333.75 and 52,304.06

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Solution

The third proportional to 24,333.75 and 52,304.06 is: 112,424.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,333.75 : 52,304.06 = 52,304.06 : x
  2. Step 2: Convert to fraction form
    24,333.75/52,304.06 = 52,304.06/x
  3. Step 3: Cross multiply
    24,333.75x = 52,304.06 × 52,304.06
  4. Step 4: Simplify right side
    24,333.75x = 2,735,714,954.00
  5. Step 5: Solve for x
    x = 2,735,714,954.00/24,333.75
  6. Step 6: Final answer
    x = 112,424.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.