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Finding the Third Proportional to 32,896 and 69,892

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Solution

The third proportional to 32,896 and 69,892 is: 148,495.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,896 : 69,892 = 69,892 : x
  2. Step 2: Convert to fraction form
    32,896/69,892 = 69,892/x
  3. Step 3: Cross multiply
    32,896x = 69,892 × 69,892
  4. Step 4: Simplify right side
    32,896x = 4,884,891,664
  5. Step 5: Solve for x
    x = 4,884,891,664/32,896
  6. Step 6: Final answer
    x = 148,495.00

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.