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Finding the Third Proportional to 29,816 and 64,813

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Solution

The third proportional to 29,816 and 64,813 is: 140,888.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,816 : 64,813 = 64,813 : x
  2. Step 2: Convert to fraction form
    29,816/64,813 = 64,813/x
  3. Step 3: Cross multiply
    29,816x = 64,813 × 64,813
  4. Step 4: Simplify right side
    29,816x = 4,200,724,969
  5. Step 5: Solve for x
    x = 4,200,724,969/29,816
  6. Step 6: Final answer
    x = 140,888.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.