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Finding the Third Proportional to 29,980.13 and 65,837.81

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Solution

The third proportional to 29,980.13 and 65,837.81 is: 144,583.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,980.13 : 65,837.81 = 65,837.81 : x
  2. Step 2: Convert to fraction form
    29,980.13/65,837.81 = 65,837.81/x
  3. Step 3: Cross multiply
    29,980.13x = 65,837.81 × 65,837.81
  4. Step 4: Simplify right side
    29,980.13x = 4,334,617,554.79
  5. Step 5: Solve for x
    x = 4,334,617,554.79/29,980.13
  6. Step 6: Final answer
    x = 144,583.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.