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Finding the Third Proportional to 23,403 and 53,755.50

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Solution

The third proportional to 23,403 and 53,755.50 is: 123,473.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,403 : 53,755.50 = 53,755.50 : x
  2. Step 2: Convert to fraction form
    23,403/53,755.50 = 53,755.50/x
  3. Step 3: Cross multiply
    23,403x = 53,755.50 × 53,755.50
  4. Step 4: Simplify right side
    23,403x = 2,889,653,780.25
  5. Step 5: Solve for x
    x = 2,889,653,780.25/23,403
  6. Step 6: Final answer
    x = 123,473.65

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.