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Finding the Third Proportional to 13,064 and 15,240

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Solution

The third proportional to 13,064 and 15,240 is: 17,778.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,064 : 15,240 = 15,240 : x
  2. Step 2: Convert to fraction form
    13,064/15,240 = 15,240/x
  3. Step 3: Cross multiply
    13,064x = 15,240 × 15,240
  4. Step 4: Simplify right side
    13,064x = 232,257,600
  5. Step 5: Solve for x
    x = 232,257,600/13,064
  6. Step 6: Final answer
    x = 17,778.44

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.