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Finding the Third Proportional to 21,980.25 and 34,085.25

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Solution

The third proportional to 21,980.25 and 34,085.25 is: 52,856.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,980.25 : 34,085.25 = 34,085.25 : x
  2. Step 2: Convert to fraction form
    21,980.25/34,085.25 = 34,085.25/x
  3. Step 3: Cross multiply
    21,980.25x = 34,085.25 × 34,085.25
  4. Step 4: Simplify right side
    21,980.25x = 1,161,804,267.56
  5. Step 5: Solve for x
    x = 1,161,804,267.56/21,980.25
  6. Step 6: Final answer
    x = 52,856.74

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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.