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Finding the Third Proportional to 7,880 and 17,160

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Solution

The third proportional to 7,880 and 17,160 is: 37,368.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880 : 17,160 = 17,160 : x
  2. Step 2: Convert to fraction form
    7,880/17,160 = 17,160/x
  3. Step 3: Cross multiply
    7,880x = 17,160 × 17,160
  4. Step 4: Simplify right side
    7,880x = 294,465,600
  5. Step 5: Solve for x
    x = 294,465,600/7,880
  6. Step 6: Final answer
    x = 37,368.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.