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Finding the Third Proportional to 29,702 and 64,009

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Solution

The third proportional to 29,702 and 64,009 is: 137,941.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,702 : 64,009 = 64,009 : x
  2. Step 2: Convert to fraction form
    29,702/64,009 = 64,009/x
  3. Step 3: Cross multiply
    29,702x = 64,009 × 64,009
  4. Step 4: Simplify right side
    29,702x = 4,097,152,081
  5. Step 5: Solve for x
    x = 4,097,152,081/29,702
  6. Step 6: Final answer
    x = 137,941.96

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Why These Related Problems?

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