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Finding the Third Proportional to 34,653 and 55,090

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Solution

The third proportional to 34,653 and 55,090 is: 87,579.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,653 : 55,090 = 55,090 : x
  2. Step 2: Convert to fraction form
    34,653/55,090 = 55,090/x
  3. Step 3: Cross multiply
    34,653x = 55,090 × 55,090
  4. Step 4: Simplify right side
    34,653x = 3,034,908,100
  5. Step 5: Solve for x
    x = 3,034,908,100/34,653
  6. Step 6: Final answer
    x = 87,579.95

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.