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Finding the Third Proportional to 13,264 and 15,440

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Solution

The third proportional to 13,264 and 15,440 is: 17,972.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,264 : 15,440 = 15,440 : x
  2. Step 2: Convert to fraction form
    13,264/15,440 = 15,440/x
  3. Step 3: Cross multiply
    13,264x = 15,440 × 15,440
  4. Step 4: Simplify right side
    13,264x = 238,393,600
  5. Step 5: Solve for x
    x = 238,393,600/13,264
  6. Step 6: Final answer
    x = 17,972.98

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.