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Finding the Third Proportional to 20,020 and 29,858

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Solution

The third proportional to 20,020 and 29,858 is: 44,530.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,020 : 29,858 = 29,858 : x
  2. Step 2: Convert to fraction form
    20,020/29,858 = 29,858/x
  3. Step 3: Cross multiply
    20,020x = 29,858 × 29,858
  4. Step 4: Simplify right side
    20,020x = 891,500,164
  5. Step 5: Solve for x
    x = 891,500,164/20,020
  6. Step 6: Final answer
    x = 44,530.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.