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Finding the Third Proportional to 31,520 and 42,056

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Solution

The third proportional to 31,520 and 42,056 is: 56,113.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,520 : 42,056 = 42,056 : x
  2. Step 2: Convert to fraction form
    31,520/42,056 = 42,056/x
  3. Step 3: Cross multiply
    31,520x = 42,056 × 42,056
  4. Step 4: Simplify right side
    31,520x = 1,768,707,136
  5. Step 5: Solve for x
    x = 1,768,707,136/31,520
  6. Step 6: Final answer
    x = 56,113.81

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Why These Related Problems?

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