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Finding the Third Proportional to 29,872.13 and 65,012.63

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Solution

The third proportional to 29,872.13 and 65,012.63 is: 141,491.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,872.13 : 65,012.63 = 65,012.63 : x
  2. Step 2: Convert to fraction form
    29,872.13/65,012.63 = 65,012.63/x
  3. Step 3: Cross multiply
    29,872.13x = 65,012.63 × 65,012.63
  4. Step 4: Simplify right side
    29,872.13x = 4,226,641,409.39
  5. Step 5: Solve for x
    x = 4,226,641,409.39/29,872.13
  6. Step 6: Final answer
    x = 141,491.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.