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Finding the Third Proportional to 28,904 and 43,237

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Solution

The third proportional to 28,904 and 43,237 is: 64,677.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,904 : 43,237 = 43,237 : x
  2. Step 2: Convert to fraction form
    28,904/43,237 = 43,237/x
  3. Step 3: Cross multiply
    28,904x = 43,237 × 43,237
  4. Step 4: Simplify right side
    28,904x = 1,869,438,169
  5. Step 5: Solve for x
    x = 1,869,438,169/28,904
  6. Step 6: Final answer
    x = 64,677.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.