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Finding the Third Proportional to 35,752 and 52,592

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Solution

The third proportional to 35,752 and 52,592 is: 77,364.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,752 : 52,592 = 52,592 : x
  2. Step 2: Convert to fraction form
    35,752/52,592 = 52,592/x
  3. Step 3: Cross multiply
    35,752x = 52,592 × 52,592
  4. Step 4: Simplify right side
    35,752x = 2,765,918,464
  5. Step 5: Solve for x
    x = 2,765,918,464/35,752
  6. Step 6: Final answer
    x = 77,364.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.