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Finding the Third Proportional to 31,506 and 60,702.75

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Solution

The third proportional to 31,506 and 60,702.75 is: 116,956.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,506 : 60,702.75 = 60,702.75 : x
  2. Step 2: Convert to fraction form
    31,506/60,702.75 = 60,702.75/x
  3. Step 3: Cross multiply
    31,506x = 60,702.75 × 60,702.75
  4. Step 4: Simplify right side
    31,506x = 3,684,823,857.56
  5. Step 5: Solve for x
    x = 3,684,823,857.56/31,506
  6. Step 6: Final answer
    x = 116,956.26

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These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.