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Finding the Third Proportional to 29,720.81 and 64,396.13

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Solution

The third proportional to 29,720.81 and 64,396.13 is: 139,527.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,720.81 : 64,396.13 = 64,396.13 : x
  2. Step 2: Convert to fraction form
    29,720.81/64,396.13 = 64,396.13/x
  3. Step 3: Cross multiply
    29,720.81x = 64,396.13 × 64,396.13
  4. Step 4: Simplify right side
    29,720.81x = 4,146,860,915.02
  5. Step 5: Solve for x
    x = 4,146,860,915.02/29,720.81
  6. Step 6: Final answer
    x = 139,527.17

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