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Finding the Third Proportional to 14,990 and 26,738

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Solution

The third proportional to 14,990 and 26,738 is: 47,693.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,990 : 26,738 = 26,738 : x
  2. Step 2: Convert to fraction form
    14,990/26,738 = 26,738/x
  3. Step 3: Cross multiply
    14,990x = 26,738 × 26,738
  4. Step 4: Simplify right side
    14,990x = 714,920,644
  5. Step 5: Solve for x
    x = 714,920,644/14,990
  6. Step 6: Final answer
    x = 47,693.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.