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Finding the Third Proportional to 30,866.63 and 66,120.75

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Solution

The third proportional to 30,866.63 and 66,120.75 is: 141,640.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,866.63 : 66,120.75 = 66,120.75 : x
  2. Step 2: Convert to fraction form
    30,866.63/66,120.75 = 66,120.75/x
  3. Step 3: Cross multiply
    30,866.63x = 66,120.75 × 66,120.75
  4. Step 4: Simplify right side
    30,866.63x = 4,371,953,580.56
  5. Step 5: Solve for x
    x = 4,371,953,580.56/30,866.63
  6. Step 6: Final answer
    x = 141,640.16

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