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Finding the Third Proportional to 30,295.13 and 65,558.25

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Solution

The third proportional to 30,295.13 and 65,558.25 is: 141,867.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,295.13 : 65,558.25 = 65,558.25 : x
  2. Step 2: Convert to fraction form
    30,295.13/65,558.25 = 65,558.25/x
  3. Step 3: Cross multiply
    30,295.13x = 65,558.25 × 65,558.25
  4. Step 4: Simplify right side
    30,295.13x = 4,297,884,143.06
  5. Step 5: Solve for x
    x = 4,297,884,143.06/30,295.13
  6. Step 6: Final answer
    x = 141,867.19

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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.