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Finding the Third Proportional to 23,534 and 51,355

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Solution

The third proportional to 23,534 and 51,355 is: 112,064.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,534 : 51,355 = 51,355 : x
  2. Step 2: Convert to fraction form
    23,534/51,355 = 51,355/x
  3. Step 3: Cross multiply
    23,534x = 51,355 × 51,355
  4. Step 4: Simplify right side
    23,534x = 2,637,336,025
  5. Step 5: Solve for x
    x = 2,637,336,025/23,534
  6. Step 6: Final answer
    x = 112,064.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.