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Finding the Third Proportional to 30,374 and 64,048

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Solution

The third proportional to 30,374 and 64,048 is: 135,054.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,374 : 64,048 = 64,048 : x
  2. Step 2: Convert to fraction form
    30,374/64,048 = 64,048/x
  3. Step 3: Cross multiply
    30,374x = 64,048 × 64,048
  4. Step 4: Simplify right side
    30,374x = 4,102,146,304
  5. Step 5: Solve for x
    x = 4,102,146,304/30,374
  6. Step 6: Final answer
    x = 135,054.53

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.