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Finding the Third Proportional to 1,415 and 2,515

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Solution

The third proportional to 1,415 and 2,515 is: 4,470.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415 : 2,515 = 2,515 : x
  2. Step 2: Convert to fraction form
    1,415/2,515 = 2,515/x
  3. Step 3: Cross multiply
    1,415x = 2,515 × 2,515
  4. Step 4: Simplify right side
    1,415x = 6,325,225
  5. Step 5: Solve for x
    x = 6,325,225/1,415
  6. Step 6: Final answer
    x = 4,470.12

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.