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Finding the Third Proportional to 31,322.95 and 66,139.03

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Solution

The third proportional to 31,322.95 and 66,139.03 is: 139,653.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,322.95 : 66,139.03 = 66,139.03 : x
  2. Step 2: Convert to fraction form
    31,322.95/66,139.03 = 66,139.03/x
  3. Step 3: Cross multiply
    31,322.95x = 66,139.03 × 66,139.03
  4. Step 4: Simplify right side
    31,322.95x = 4,374,371,454.69
  5. Step 5: Solve for x
    x = 4,374,371,454.69/31,322.95
  6. Step 6: Final answer
    x = 139,653.86

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.