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Finding the Third Proportional to 20,572 and 29,130

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Solution

The third proportional to 20,572 and 29,130 is: 41,248.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,572 : 29,130 = 29,130 : x
  2. Step 2: Convert to fraction form
    20,572/29,130 = 29,130/x
  3. Step 3: Cross multiply
    20,572x = 29,130 × 29,130
  4. Step 4: Simplify right side
    20,572x = 848,556,900
  5. Step 5: Solve for x
    x = 848,556,900/20,572
  6. Step 6: Final answer
    x = 41,248.15

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.