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Finding the Third Proportional to 42,666 and 58,813

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Solution

The third proportional to 42,666 and 58,813 is: 81,070.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,666 : 58,813 = 58,813 : x
  2. Step 2: Convert to fraction form
    42,666/58,813 = 58,813/x
  3. Step 3: Cross multiply
    42,666x = 58,813 × 58,813
  4. Step 4: Simplify right side
    42,666x = 3,458,968,969
  5. Step 5: Solve for x
    x = 3,458,968,969/42,666
  6. Step 6: Final answer
    x = 81,070.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.