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Finding the Third Proportional to 14,924 and 20,468

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Solution

The third proportional to 14,924 and 20,468 is: 28,071.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,924 : 20,468 = 20,468 : x
  2. Step 2: Convert to fraction form
    14,924/20,468 = 20,468/x
  3. Step 3: Cross multiply
    14,924x = 20,468 × 20,468
  4. Step 4: Simplify right side
    14,924x = 418,939,024
  5. Step 5: Solve for x
    x = 418,939,024/14,924
  6. Step 6: Final answer
    x = 28,071.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.