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Finding the Third Proportional to 16,464 and 24,837.75

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Solution

The third proportional to 16,464 and 24,837.75 is: 37,470.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464 : 24,837.75 = 24,837.75 : x
  2. Step 2: Convert to fraction form
    16,464/24,837.75 = 24,837.75/x
  3. Step 3: Cross multiply
    16,464x = 24,837.75 × 24,837.75
  4. Step 4: Simplify right side
    16,464x = 616,913,825.06
  5. Step 5: Solve for x
    x = 616,913,825.06/16,464
  6. Step 6: Final answer
    x = 37,470.47

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1.5x scale

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.