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Finding the Third Proportional to 7,145 and 15,314.50

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Solution

The third proportional to 7,145 and 15,314.50 is: 32,824.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145 : 15,314.50 = 15,314.50 : x
  2. Step 2: Convert to fraction form
    7,145/15,314.50 = 15,314.50/x
  3. Step 3: Cross multiply
    7,145x = 15,314.50 × 15,314.50
  4. Step 4: Simplify right side
    7,145x = 234,533,910.25
  5. Step 5: Solve for x
    x = 234,533,910.25/7,145
  6. Step 6: Final answer
    x = 32,824.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.