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Finding the Third Proportional to 35,480 and 53,368

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Solution

The third proportional to 35,480 and 53,368 is: 80,274.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,480 : 53,368 = 53,368 : x
  2. Step 2: Convert to fraction form
    35,480/53,368 = 53,368/x
  3. Step 3: Cross multiply
    35,480x = 53,368 × 53,368
  4. Step 4: Simplify right side
    35,480x = 2,848,143,424
  5. Step 5: Solve for x
    x = 2,848,143,424/35,480
  6. Step 6: Final answer
    x = 80,274.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.