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Finding the Third Proportional to 2,465 and 2,735

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Solution

The third proportional to 2,465 and 2,735 is: 3,034.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465 : 2,735 = 2,735 : x
  2. Step 2: Convert to fraction form
    2,465/2,735 = 2,735/x
  3. Step 3: Cross multiply
    2,465x = 2,735 × 2,735
  4. Step 4: Simplify right side
    2,465x = 7,480,225
  5. Step 5: Solve for x
    x = 7,480,225/2,465
  6. Step 6: Final answer
    x = 3,034.57

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.