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Finding the Third Proportional to 30,633.19 and 65,655.56

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Solution

The third proportional to 30,633.19 and 65,655.56 is: 140,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,633.19 : 65,655.56 = 65,655.56 : x
  2. Step 2: Convert to fraction form
    30,633.19/65,655.56 = 65,655.56/x
  3. Step 3: Cross multiply
    30,633.19x = 65,655.56 × 65,655.56
  4. Step 4: Simplify right side
    30,633.19x = 4,310,652,887.19
  5. Step 5: Solve for x
    x = 4,310,652,887.19/30,633.19
  6. Step 6: Final answer
    x = 140,718.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.