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Finding the Third Proportional to 30,025.69 and 64,981.69

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Solution

The third proportional to 30,025.69 and 64,981.69 is: 140,633.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,025.69 : 64,981.69 = 64,981.69 : x
  2. Step 2: Convert to fraction form
    30,025.69/64,981.69 = 64,981.69/x
  3. Step 3: Cross multiply
    30,025.69x = 64,981.69 × 64,981.69
  4. Step 4: Simplify right side
    30,025.69x = 4,222,619,710.35
  5. Step 5: Solve for x
    x = 4,222,619,710.35/30,025.69
  6. Step 6: Final answer
    x = 140,633.57

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.