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Finding the Third Proportional to 42,984 and 64,494

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Solution

The third proportional to 42,984 and 64,494 is: 96,768.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,984 : 64,494 = 64,494 : x
  2. Step 2: Convert to fraction form
    42,984/64,494 = 64,494/x
  3. Step 3: Cross multiply
    42,984x = 64,494 × 64,494
  4. Step 4: Simplify right side
    42,984x = 4,159,476,036
  5. Step 5: Solve for x
    x = 4,159,476,036/42,984
  6. Step 6: Final answer
    x = 96,768.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.