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Finding the Third Proportional to 14,924 and 32,483

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Solution

The third proportional to 14,924 and 32,483 is: 70,701.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,924 : 32,483 = 32,483 : x
  2. Step 2: Convert to fraction form
    14,924/32,483 = 32,483/x
  3. Step 3: Cross multiply
    14,924x = 32,483 × 32,483
  4. Step 4: Simplify right side
    14,924x = 1,055,145,289
  5. Step 5: Solve for x
    x = 1,055,145,289/14,924
  6. Step 6: Final answer
    x = 70,701.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.