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Finding the Third Proportional to 29,996.37 and 64,803.38

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Solution

The third proportional to 29,996.37 and 64,803.38 is: 139,999.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,996.37 : 64,803.38 = 64,803.38 : x
  2. Step 2: Convert to fraction form
    29,996.37/64,803.38 = 64,803.38/x
  3. Step 3: Cross multiply
    29,996.37x = 64,803.38 × 64,803.38
  4. Step 4: Simplify right side
    29,996.37x = 4,199,477,411.39
  5. Step 5: Solve for x
    x = 4,199,477,411.39/29,996.37
  6. Step 6: Final answer
    x = 139,999.53

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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.