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Finding the Third Proportional to 35,647 and 77,365

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Solution

The third proportional to 35,647 and 77,365 is: 167,905.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,647 : 77,365 = 77,365 : x
  2. Step 2: Convert to fraction form
    35,647/77,365 = 77,365/x
  3. Step 3: Cross multiply
    35,647x = 77,365 × 77,365
  4. Step 4: Simplify right side
    35,647x = 5,985,343,225
  5. Step 5: Solve for x
    x = 5,985,343,225/35,647
  6. Step 6: Final answer
    x = 167,905.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.