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Finding the Third Proportional to 14,489 and 30,534

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Solution

The third proportional to 14,489 and 30,534 is: 64,347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,489 : 30,534 = 30,534 : x
  2. Step 2: Convert to fraction form
    14,489/30,534 = 30,534/x
  3. Step 3: Cross multiply
    14,489x = 30,534 × 30,534
  4. Step 4: Simplify right side
    14,489x = 932,325,156
  5. Step 5: Solve for x
    x = 932,325,156/14,489
  6. Step 6: Final answer
    x = 64,347.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.