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Finding the Third Proportional to 34,634.75 and 53,734.25

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Solution

The third proportional to 34,634.75 and 53,734.25 is: 83,366.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,634.75 : 53,734.25 = 53,734.25 : x
  2. Step 2: Convert to fraction form
    34,634.75/53,734.25 = 53,734.25/x
  3. Step 3: Cross multiply
    34,634.75x = 53,734.25 × 53,734.25
  4. Step 4: Simplify right side
    34,634.75x = 2,887,369,623.06
  5. Step 5: Solve for x
    x = 2,887,369,623.06/34,634.75
  6. Step 6: Final answer
    x = 83,366.26

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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.