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Finding the Third Proportional to 26,802 and 58,572

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Solution

The third proportional to 26,802 and 58,572 is: 128,000.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,802 : 58,572 = 58,572 : x
  2. Step 2: Convert to fraction form
    26,802/58,572 = 58,572/x
  3. Step 3: Cross multiply
    26,802x = 58,572 × 58,572
  4. Step 4: Simplify right side
    26,802x = 3,430,679,184
  5. Step 5: Solve for x
    x = 3,430,679,184/26,802
  6. Step 6: Final answer
    x = 128,000.87

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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.