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Finding the Third Proportional to 42,010 and 63,891

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Solution

The third proportional to 42,010 and 63,891 is: 97,168.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,010 : 63,891 = 63,891 : x
  2. Step 2: Convert to fraction form
    42,010/63,891 = 63,891/x
  3. Step 3: Cross multiply
    42,010x = 63,891 × 63,891
  4. Step 4: Simplify right side
    42,010x = 4,082,059,881
  5. Step 5: Solve for x
    x = 4,082,059,881/42,010
  6. Step 6: Final answer
    x = 97,168.77

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.