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Finding the Third Proportional to 34,704 and 53,820

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Solution

The third proportional to 34,704 and 53,820 is: 83,465.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,704 : 53,820 = 53,820 : x
  2. Step 2: Convert to fraction form
    34,704/53,820 = 53,820/x
  3. Step 3: Cross multiply
    34,704x = 53,820 × 53,820
  4. Step 4: Simplify right side
    34,704x = 2,896,592,400
  5. Step 5: Solve for x
    x = 2,896,592,400/34,704
  6. Step 6: Final answer
    x = 83,465.66

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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.