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Finding the Third Proportional to 30,074.63 and 70,903.69

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Solution

The third proportional to 30,074.63 and 70,903.69 is: 167,161.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,074.63 : 70,903.69 = 70,903.69 : x
  2. Step 2: Convert to fraction form
    30,074.63/70,903.69 = 70,903.69/x
  3. Step 3: Cross multiply
    30,074.63x = 70,903.69 × 70,903.69
  4. Step 4: Simplify right side
    30,074.63x = 5,027,332,901.10
  5. Step 5: Solve for x
    x = 5,027,332,901.10/30,074.63
  6. Step 6: Final answer
    x = 167,161.95

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.