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Finding the Third Proportional to 1,459 and 3,152

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Solution

The third proportional to 1,459 and 3,152 is: 6,809.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459 : 3,152 = 3,152 : x
  2. Step 2: Convert to fraction form
    1,459/3,152 = 3,152/x
  3. Step 3: Cross multiply
    1,459x = 3,152 × 3,152
  4. Step 4: Simplify right side
    1,459x = 9,935,104
  5. Step 5: Solve for x
    x = 9,935,104/1,459
  6. Step 6: Final answer
    x = 6,809.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.