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Finding the Third Proportional to 34,605.75 and 54,368.06

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Solution

The third proportional to 34,605.75 and 54,368.06 is: 85,416.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,605.75 : 54,368.06 = 54,368.06 : x
  2. Step 2: Convert to fraction form
    34,605.75/54,368.06 = 54,368.06/x
  3. Step 3: Cross multiply
    34,605.75x = 54,368.06 × 54,368.06
  4. Step 4: Simplify right side
    34,605.75x = 2,955,886,220.00
  5. Step 5: Solve for x
    x = 2,955,886,220.00/34,605.75
  6. Step 6: Final answer
    x = 85,416.04

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.