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Finding the Third Proportional to 14,984 and 23,264

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Solution

The third proportional to 14,984 and 23,264 is: 36,119.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,984 : 23,264 = 23,264 : x
  2. Step 2: Convert to fraction form
    14,984/23,264 = 23,264/x
  3. Step 3: Cross multiply
    14,984x = 23,264 × 23,264
  4. Step 4: Simplify right side
    14,984x = 541,213,696
  5. Step 5: Solve for x
    x = 541,213,696/14,984
  6. Step 6: Final answer
    x = 36,119.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.