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Finding the Third Proportional to 42,611 and 64,803

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Solution

The third proportional to 42,611 and 64,803 is: 98,552.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,611 : 64,803 = 64,803 : x
  2. Step 2: Convert to fraction form
    42,611/64,803 = 64,803/x
  3. Step 3: Cross multiply
    42,611x = 64,803 × 64,803
  4. Step 4: Simplify right side
    42,611x = 4,199,428,809
  5. Step 5: Solve for x
    x = 4,199,428,809/42,611
  6. Step 6: Final answer
    x = 98,552.69

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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.