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Finding the Third Proportional to 15,152 and 32,108

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Solution

The third proportional to 15,152 and 32,108 is: 68,038.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,152 : 32,108 = 32,108 : x
  2. Step 2: Convert to fraction form
    15,152/32,108 = 32,108/x
  3. Step 3: Cross multiply
    15,152x = 32,108 × 32,108
  4. Step 4: Simplify right side
    15,152x = 1,030,923,664
  5. Step 5: Solve for x
    x = 1,030,923,664/15,152
  6. Step 6: Final answer
    x = 68,038.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.