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Finding the Third Proportional to 20,020 and 46,342

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Solution

The third proportional to 20,020 and 46,342 is: 107,271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,020 : 46,342 = 46,342 : x
  2. Step 2: Convert to fraction form
    20,020/46,342 = 46,342/x
  3. Step 3: Cross multiply
    20,020x = 46,342 × 46,342
  4. Step 4: Simplify right side
    20,020x = 2,147,580,964
  5. Step 5: Solve for x
    x = 2,147,580,964/20,020
  6. Step 6: Final answer
    x = 107,271.78

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.