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Finding the Third Proportional to 40,248 and 61,056

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Solution

The third proportional to 40,248 and 61,056 is: 92,621.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,248 : 61,056 = 61,056 : x
  2. Step 2: Convert to fraction form
    40,248/61,056 = 61,056/x
  3. Step 3: Cross multiply
    40,248x = 61,056 × 61,056
  4. Step 4: Simplify right side
    40,248x = 3,727,835,136
  5. Step 5: Solve for x
    x = 3,727,835,136/40,248
  6. Step 6: Final answer
    x = 92,621.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.