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Finding the Third Proportional to 35,813 and 78,511

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Solution

The third proportional to 35,813 and 78,511 is: 172,115.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,813 : 78,511 = 78,511 : x
  2. Step 2: Convert to fraction form
    35,813/78,511 = 78,511/x
  3. Step 3: Cross multiply
    35,813x = 78,511 × 78,511
  4. Step 4: Simplify right side
    35,813x = 6,163,977,121
  5. Step 5: Solve for x
    x = 6,163,977,121/35,813
  6. Step 6: Final answer
    x = 172,115.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.