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Finding the Third Proportional to 14,952 and 27,768

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Solution

The third proportional to 14,952 and 27,768 is: 51,569.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,952 : 27,768 = 27,768 : x
  2. Step 2: Convert to fraction form
    14,952/27,768 = 27,768/x
  3. Step 3: Cross multiply
    14,952x = 27,768 × 27,768
  4. Step 4: Simplify right side
    14,952x = 771,061,824
  5. Step 5: Solve for x
    x = 771,061,824/14,952
  6. Step 6: Final answer
    x = 51,569.14

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.