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Finding the Third Proportional to 23,353.50 and 51,613.50

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Solution

The third proportional to 23,353.50 and 51,613.50 is: 114,070.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,353.50 : 51,613.50 = 51,613.50 : x
  2. Step 2: Convert to fraction form
    23,353.50/51,613.50 = 51,613.50/x
  3. Step 3: Cross multiply
    23,353.50x = 51,613.50 × 51,613.50
  4. Step 4: Simplify right side
    23,353.50x = 2,663,953,382.25
  5. Step 5: Solve for x
    x = 2,663,953,382.25/23,353.50
  6. Step 6: Final answer
    x = 114,070.84

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.