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Finding the Third Proportional to 30,039.19 and 64,896.47

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Solution

The third proportional to 30,039.19 and 64,896.47 is: 140,201.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,039.19 : 64,896.47 = 64,896.47 : x
  2. Step 2: Convert to fraction form
    30,039.19/64,896.47 = 64,896.47/x
  3. Step 3: Cross multiply
    30,039.19x = 64,896.47 × 64,896.47
  4. Step 4: Simplify right side
    30,039.19x = 4,211,551,656.22
  5. Step 5: Solve for x
    x = 4,211,551,656.22/30,039.19
  6. Step 6: Final answer
    x = 140,201.92

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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.