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Finding the Third Proportional to 1,160 and 2,735

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Solution

The third proportional to 1,160 and 2,735 is: 6,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160 : 2,735 = 2,735 : x
  2. Step 2: Convert to fraction form
    1,160/2,735 = 2,735/x
  3. Step 3: Cross multiply
    1,160x = 2,735 × 2,735
  4. Step 4: Simplify right side
    1,160x = 7,480,225
  5. Step 5: Solve for x
    x = 7,480,225/1,160
  6. Step 6: Final answer
    x = 6,448.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.