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Finding the Third Proportional to 28,512 and 42,208

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Solution

The third proportional to 28,512 and 42,208 is: 62,483.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,512 : 42,208 = 42,208 : x
  2. Step 2: Convert to fraction form
    28,512/42,208 = 42,208/x
  3. Step 3: Cross multiply
    28,512x = 42,208 × 42,208
  4. Step 4: Simplify right side
    28,512x = 1,781,515,264
  5. Step 5: Solve for x
    x = 1,781,515,264/28,512
  6. Step 6: Final answer
    x = 62,483.00

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.