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Finding the Third Proportional to 30,057 and 64,640

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Solution

The third proportional to 30,057 and 64,640 is: 139,013.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,057 : 64,640 = 64,640 : x
  2. Step 2: Convert to fraction form
    30,057/64,640 = 64,640/x
  3. Step 3: Cross multiply
    30,057x = 64,640 × 64,640
  4. Step 4: Simplify right side
    30,057x = 4,178,329,600
  5. Step 5: Solve for x
    x = 4,178,329,600/30,057
  6. Step 6: Final answer
    x = 139,013.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.