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Finding the Third Proportional to 21,980.53 and 34,056.70

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Solution

The third proportional to 21,980.53 and 34,056.70 is: 52,767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,980.53 : 34,056.70 = 34,056.70 : x
  2. Step 2: Convert to fraction form
    21,980.53/34,056.70 = 34,056.70/x
  3. Step 3: Cross multiply
    21,980.53x = 34,056.70 × 34,056.70
  4. Step 4: Simplify right side
    21,980.53x = 1,159,859,027.74
  5. Step 5: Solve for x
    x = 1,159,859,027.74/21,980.53
  6. Step 6: Final answer
    x = 52,767.56

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.