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Finding the Third Proportional to 1,460 and 1,985

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Solution

The third proportional to 1,460 and 1,985 is: 2,698.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460 : 1,985 = 1,985 : x
  2. Step 2: Convert to fraction form
    1,460/1,985 = 1,985/x
  3. Step 3: Cross multiply
    1,460x = 1,985 × 1,985
  4. Step 4: Simplify right side
    1,460x = 3,940,225
  5. Step 5: Solve for x
    x = 3,940,225/1,460
  6. Step 6: Final answer
    x = 2,698.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.