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Finding the Third Proportional to 34,632 and 53,580

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Solution

The third proportional to 34,632 and 53,580 is: 82,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,632 : 53,580 = 53,580 : x
  2. Step 2: Convert to fraction form
    34,632/53,580 = 53,580/x
  3. Step 3: Cross multiply
    34,632x = 53,580 × 53,580
  4. Step 4: Simplify right side
    34,632x = 2,870,816,400
  5. Step 5: Solve for x
    x = 2,870,816,400/34,632
  6. Step 6: Final answer
    x = 82,894.91

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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.