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Finding the Third Proportional to 3,237 and 4,663.50

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Solution

The third proportional to 3,237 and 4,663.50 is: 6,718.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237 : 4,663.50 = 4,663.50 : x
  2. Step 2: Convert to fraction form
    3,237/4,663.50 = 4,663.50/x
  3. Step 3: Cross multiply
    3,237x = 4,663.50 × 4,663.50
  4. Step 4: Simplify right side
    3,237x = 21,748,232.25
  5. Step 5: Solve for x
    x = 21,748,232.25/3,237
  6. Step 6: Final answer
    x = 6,718.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.