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Finding the Third Proportional to 26,420 and 58,032

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Solution

The third proportional to 26,420 and 58,032 is: 127,468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,420 : 58,032 = 58,032 : x
  2. Step 2: Convert to fraction form
    26,420/58,032 = 58,032/x
  3. Step 3: Cross multiply
    26,420x = 58,032 × 58,032
  4. Step 4: Simplify right side
    26,420x = 3,367,713,024
  5. Step 5: Solve for x
    x = 3,367,713,024/26,420
  6. Step 6: Final answer
    x = 127,468.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.