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Finding the Third Proportional to 13,250 and 19,160

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Solution

The third proportional to 13,250 and 19,160 is: 27,706.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,250 : 19,160 = 19,160 : x
  2. Step 2: Convert to fraction form
    13,250/19,160 = 19,160/x
  3. Step 3: Cross multiply
    13,250x = 19,160 × 19,160
  4. Step 4: Simplify right side
    13,250x = 367,105,600
  5. Step 5: Solve for x
    x = 367,105,600/13,250
  6. Step 6: Final answer
    x = 27,706.08

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.