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Finding the Third Proportional to 23,964 and 36,284

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Solution

The third proportional to 23,964 and 36,284 is: 54,937.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,964 : 36,284 = 36,284 : x
  2. Step 2: Convert to fraction form
    23,964/36,284 = 36,284/x
  3. Step 3: Cross multiply
    23,964x = 36,284 × 36,284
  4. Step 4: Simplify right side
    23,964x = 1,316,528,656
  5. Step 5: Solve for x
    x = 1,316,528,656/23,964
  6. Step 6: Final answer
    x = 54,937.77

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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.