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Finding the Third Proportional to 14,769 and 22,248

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Solution

The third proportional to 14,769 and 22,248 is: 33,514.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,769 : 22,248 = 22,248 : x
  2. Step 2: Convert to fraction form
    14,769/22,248 = 22,248/x
  3. Step 3: Cross multiply
    14,769x = 22,248 × 22,248
  4. Step 4: Simplify right side
    14,769x = 494,973,504
  5. Step 5: Solve for x
    x = 494,973,504/14,769
  6. Step 6: Final answer
    x = 33,514.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.