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Finding the Third Proportional to 29,948 and 64,808

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Solution

The third proportional to 29,948 and 64,808 is: 140,245.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,948 : 64,808 = 64,808 : x
  2. Step 2: Convert to fraction form
    29,948/64,808 = 64,808/x
  3. Step 3: Cross multiply
    29,948x = 64,808 × 64,808
  4. Step 4: Simplify right side
    29,948x = 4,200,076,864
  5. Step 5: Solve for x
    x = 4,200,076,864/29,948
  6. Step 6: Final answer
    x = 140,245.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.