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Finding the Third Proportional to 14,976 and 24,768

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Solution

The third proportional to 14,976 and 24,768 is: 40,962.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,976 : 24,768 = 24,768 : x
  2. Step 2: Convert to fraction form
    14,976/24,768 = 24,768/x
  3. Step 3: Cross multiply
    14,976x = 24,768 × 24,768
  4. Step 4: Simplify right side
    14,976x = 613,453,824
  5. Step 5: Solve for x
    x = 613,453,824/14,976
  6. Step 6: Final answer
    x = 40,962.46

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.