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Finding the Third Proportional to 21,046 and 45,370

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Solution

The third proportional to 21,046 and 45,370 is: 97,806.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,046 : 45,370 = 45,370 : x
  2. Step 2: Convert to fraction form
    21,046/45,370 = 45,370/x
  3. Step 3: Cross multiply
    21,046x = 45,370 × 45,370
  4. Step 4: Simplify right side
    21,046x = 2,058,436,900
  5. Step 5: Solve for x
    x = 2,058,436,900/21,046
  6. Step 6: Final answer
    x = 97,806.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.