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Finding the Third Proportional to 16,464 and 25,330.50

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Solution

The third proportional to 16,464 and 25,330.50 is: 38,971.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464 : 25,330.50 = 25,330.50 : x
  2. Step 2: Convert to fraction form
    16,464/25,330.50 = 25,330.50/x
  3. Step 3: Cross multiply
    16,464x = 25,330.50 × 25,330.50
  4. Step 4: Simplify right side
    16,464x = 641,634,230.25
  5. Step 5: Solve for x
    x = 641,634,230.25/16,464
  6. Step 6: Final answer
    x = 38,971.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.