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Finding the Third Proportional to 23,633.50 and 51,560

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Solution

The third proportional to 23,633.50 and 51,560 is: 112,485.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,633.50 : 51,560 = 51,560 : x
  2. Step 2: Convert to fraction form
    23,633.50/51,560 = 51,560/x
  3. Step 3: Cross multiply
    23,633.50x = 51,560 × 51,560
  4. Step 4: Simplify right side
    23,633.50x = 2,658,433,600
  5. Step 5: Solve for x
    x = 2,658,433,600/23,633.50
  6. Step 6: Final answer
    x = 112,485.82

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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.