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Finding the Third Proportional to 52,407 and 69,822

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Solution

The third proportional to 52,407 and 69,822 is: 93,024.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,407 : 69,822 = 69,822 : x
  2. Step 2: Convert to fraction form
    52,407/69,822 = 69,822/x
  3. Step 3: Cross multiply
    52,407x = 69,822 × 69,822
  4. Step 4: Simplify right side
    52,407x = 4,875,111,684
  5. Step 5: Solve for x
    x = 4,875,111,684/52,407
  6. Step 6: Final answer
    x = 93,024.06

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.