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Finding the Third Proportional to 26,582 and 58,324

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Solution

The third proportional to 26,582 and 58,324 is: 127,969.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,582 : 58,324 = 58,324 : x
  2. Step 2: Convert to fraction form
    26,582/58,324 = 58,324/x
  3. Step 3: Cross multiply
    26,582x = 58,324 × 58,324
  4. Step 4: Simplify right side
    26,582x = 3,401,688,976
  5. Step 5: Solve for x
    x = 3,401,688,976/26,582
  6. Step 6: Final answer
    x = 127,969.64

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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.