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Finding the Third Proportional to 3,586.50 and 5,237

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Solution

The third proportional to 3,586.50 and 5,237 is: 7,647.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.50 : 5,237 = 5,237 : x
  2. Step 2: Convert to fraction form
    3,586.50/5,237 = 5,237/x
  3. Step 3: Cross multiply
    3,586.50x = 5,237 × 5,237
  4. Step 4: Simplify right side
    3,586.50x = 27,426,169
  5. Step 5: Solve for x
    x = 27,426,169/3,586.50
  6. Step 6: Final answer
    x = 7,647.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.