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Finding the Third Proportional to 14,994 and 22,490

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Solution

The third proportional to 14,994 and 22,490 is: 33,733.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,994 : 22,490 = 22,490 : x
  2. Step 2: Convert to fraction form
    14,994/22,490 = 22,490/x
  3. Step 3: Cross multiply
    14,994x = 22,490 × 22,490
  4. Step 4: Simplify right side
    14,994x = 505,800,100
  5. Step 5: Solve for x
    x = 505,800,100/14,994
  6. Step 6: Final answer
    x = 33,733.50

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Why These Related Problems?

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