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Finding the Third Proportional to 13,159.50 and 25,107

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Solution

The third proportional to 13,159.50 and 25,107 is: 47,901.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,159.50 : 25,107 = 25,107 : x
  2. Step 2: Convert to fraction form
    13,159.50/25,107 = 25,107/x
  3. Step 3: Cross multiply
    13,159.50x = 25,107 × 25,107
  4. Step 4: Simplify right side
    13,159.50x = 630,361,449
  5. Step 5: Solve for x
    x = 630,361,449/13,159.50
  6. Step 6: Final answer
    x = 47,901.63

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.