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Finding the Third Proportional to 29,835 and 65,409.75

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Solution

The third proportional to 29,835 and 65,409.75 is: 143,403.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,835 : 65,409.75 = 65,409.75 : x
  2. Step 2: Convert to fraction form
    29,835/65,409.75 = 65,409.75/x
  3. Step 3: Cross multiply
    29,835x = 65,409.75 × 65,409.75
  4. Step 4: Simplify right side
    29,835x = 4,278,435,395.06
  5. Step 5: Solve for x
    x = 4,278,435,395.06/29,835
  6. Step 6: Final answer
    x = 143,403.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.