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Finding the Third Proportional to 14,976 and 22,465

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Solution

The third proportional to 14,976 and 22,465 is: 33,699.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,976 : 22,465 = 22,465 : x
  2. Step 2: Convert to fraction form
    14,976/22,465 = 22,465/x
  3. Step 3: Cross multiply
    14,976x = 22,465 × 22,465
  4. Step 4: Simplify right side
    14,976x = 504,676,225
  5. Step 5: Solve for x
    x = 504,676,225/14,976
  6. Step 6: Final answer
    x = 33,699.00

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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.