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Finding the Third Proportional to 26,970 and 59,124

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Solution

The third proportional to 26,970 and 59,124 is: 129,612.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,970 : 59,124 = 59,124 : x
  2. Step 2: Convert to fraction form
    26,970/59,124 = 59,124/x
  3. Step 3: Cross multiply
    26,970x = 59,124 × 59,124
  4. Step 4: Simplify right side
    26,970x = 3,495,647,376
  5. Step 5: Solve for x
    x = 3,495,647,376/26,970
  6. Step 6: Final answer
    x = 129,612.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.