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Finding the Third Proportional to 26,520 and 58,200

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Solution

The third proportional to 26,520 and 58,200 is: 127,723.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,520 : 58,200 = 58,200 : x
  2. Step 2: Convert to fraction form
    26,520/58,200 = 58,200/x
  3. Step 3: Cross multiply
    26,520x = 58,200 × 58,200
  4. Step 4: Simplify right side
    26,520x = 3,387,240,000
  5. Step 5: Solve for x
    x = 3,387,240,000/26,520
  6. Step 6: Final answer
    x = 127,723.98

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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.