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Finding the Third Proportional to 7,059 and 13,159.50

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Solution

The third proportional to 7,059 and 13,159.50 is: 24,532.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,059 : 13,159.50 = 13,159.50 : x
  2. Step 2: Convert to fraction form
    7,059/13,159.50 = 13,159.50/x
  3. Step 3: Cross multiply
    7,059x = 13,159.50 × 13,159.50
  4. Step 4: Simplify right side
    7,059x = 173,172,440.25
  5. Step 5: Solve for x
    x = 173,172,440.25/7,059
  6. Step 6: Final answer
    x = 24,532.15

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.