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Finding the Third Proportional to 21,031.31 and 46,434.94

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Solution

The third proportional to 21,031.31 and 46,434.94 is: 102,523.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,031.31 : 46,434.94 = 46,434.94 : x
  2. Step 2: Convert to fraction form
    21,031.31/46,434.94 = 46,434.94/x
  3. Step 3: Cross multiply
    21,031.31x = 46,434.94 × 46,434.94
  4. Step 4: Simplify right side
    21,031.31x = 2,156,203,420.63
  5. Step 5: Solve for x
    x = 2,156,203,420.63/21,031.31
  6. Step 6: Final answer
    x = 102,523.48

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.