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Finding the Third Proportional to 30,895.59 and 66,448.69

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Solution

The third proportional to 30,895.59 and 66,448.69 is: 142,914.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,895.59 : 66,448.69 = 66,448.69 : x
  2. Step 2: Convert to fraction form
    30,895.59/66,448.69 = 66,448.69/x
  3. Step 3: Cross multiply
    30,895.59x = 66,448.69 × 66,448.69
  4. Step 4: Simplify right side
    30,895.59x = 4,415,428,070.47
  5. Step 5: Solve for x
    x = 4,415,428,070.47/30,895.59
  6. Step 6: Final answer
    x = 142,914.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.