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Finding the Third Proportional to 18,056 and 23,738

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Solution

The third proportional to 18,056 and 23,738 is: 31,208.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,056 : 23,738 = 23,738 : x
  2. Step 2: Convert to fraction form
    18,056/23,738 = 23,738/x
  3. Step 3: Cross multiply
    18,056x = 23,738 × 23,738
  4. Step 4: Simplify right side
    18,056x = 563,492,644
  5. Step 5: Solve for x
    x = 563,492,644/18,056
  6. Step 6: Final answer
    x = 31,208.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.