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Finding the Third Proportional to 45,926 and 69,581

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Solution

The third proportional to 45,926 and 69,581 is: 105,419.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,926 : 69,581 = 69,581 : x
  2. Step 2: Convert to fraction form
    45,926/69,581 = 69,581/x
  3. Step 3: Cross multiply
    45,926x = 69,581 × 69,581
  4. Step 4: Simplify right side
    45,926x = 4,841,515,561
  5. Step 5: Solve for x
    x = 4,841,515,561/45,926
  6. Step 6: Final answer
    x = 105,419.93

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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.