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Finding the Third Proportional to 13,159.50 and 25,106

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Solution

The third proportional to 13,159.50 and 25,106 is: 47,897.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,159.50 : 25,106 = 25,106 : x
  2. Step 2: Convert to fraction form
    13,159.50/25,106 = 25,106/x
  3. Step 3: Cross multiply
    13,159.50x = 25,106 × 25,106
  4. Step 4: Simplify right side
    13,159.50x = 630,311,236
  5. Step 5: Solve for x
    x = 630,311,236/13,159.50
  6. Step 6: Final answer
    x = 47,897.81

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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.