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Finding the Third Proportional to 21,143 and 46,053

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Solution

The third proportional to 21,143 and 46,053 is: 100,311.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,143 : 46,053 = 46,053 : x
  2. Step 2: Convert to fraction form
    21,143/46,053 = 46,053/x
  3. Step 3: Cross multiply
    21,143x = 46,053 × 46,053
  4. Step 4: Simplify right side
    21,143x = 2,120,878,809
  5. Step 5: Solve for x
    x = 2,120,878,809/21,143
  6. Step 6: Final answer
    x = 100,311.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.