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Finding the Third Proportional to 8,534 and 14,145

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Solution

The third proportional to 8,534 and 14,145 is: 23,445.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534 : 14,145 = 14,145 : x
  2. Step 2: Convert to fraction form
    8,534/14,145 = 14,145/x
  3. Step 3: Cross multiply
    8,534x = 14,145 × 14,145
  4. Step 4: Simplify right side
    8,534x = 200,081,025
  5. Step 5: Solve for x
    x = 200,081,025/8,534
  6. Step 6: Final answer
    x = 23,445.16

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.