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Finding the Third Proportional to 15,720 and 32,752

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Solution

The third proportional to 15,720 and 32,752 is: 68,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,720 : 32,752 = 32,752 : x
  2. Step 2: Convert to fraction form
    15,720/32,752 = 32,752/x
  3. Step 3: Cross multiply
    15,720x = 32,752 × 32,752
  4. Step 4: Simplify right side
    15,720x = 1,072,693,504
  5. Step 5: Solve for x
    x = 1,072,693,504/15,720
  6. Step 6: Final answer
    x = 68,237.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.