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Finding the Third Proportional to 21,022 and 46,139

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Solution

The third proportional to 21,022 and 46,139 is: 101,265.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,022 : 46,139 = 46,139 : x
  2. Step 2: Convert to fraction form
    21,022/46,139 = 46,139/x
  3. Step 3: Cross multiply
    21,022x = 46,139 × 46,139
  4. Step 4: Simplify right side
    21,022x = 2,128,807,321
  5. Step 5: Solve for x
    x = 2,128,807,321/21,022
  6. Step 6: Final answer
    x = 101,265.69

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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.