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Finding the Third Proportional to 29,836.13 and 64,491.75

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Solution

The third proportional to 29,836.13 and 64,491.75 is: 139,401.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,836.13 : 64,491.75 = 64,491.75 : x
  2. Step 2: Convert to fraction form
    29,836.13/64,491.75 = 64,491.75/x
  3. Step 3: Cross multiply
    29,836.13x = 64,491.75 × 64,491.75
  4. Step 4: Simplify right side
    29,836.13x = 4,159,185,818.06
  5. Step 5: Solve for x
    x = 4,159,185,818.06/29,836.13
  6. Step 6: Final answer
    x = 139,401.01

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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.