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Finding the Third Proportional to 31,314.66 and 65,706.19

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Solution

The third proportional to 31,314.66 and 65,706.19 is: 137,868.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,314.66 : 65,706.19 = 65,706.19 : x
  2. Step 2: Convert to fraction form
    31,314.66/65,706.19 = 65,706.19/x
  3. Step 3: Cross multiply
    31,314.66x = 65,706.19 × 65,706.19
  4. Step 4: Simplify right side
    31,314.66x = 4,317,303,075.79
  5. Step 5: Solve for x
    x = 4,317,303,075.79/31,314.66
  6. Step 6: Final answer
    x = 137,868.45

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.