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Finding the Third Proportional to 21,370 and 45,644

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Solution

The third proportional to 21,370 and 45,644 is: 97,490.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,370 : 45,644 = 45,644 : x
  2. Step 2: Convert to fraction form
    21,370/45,644 = 45,644/x
  3. Step 3: Cross multiply
    21,370x = 45,644 × 45,644
  4. Step 4: Simplify right side
    21,370x = 2,083,374,736
  5. Step 5: Solve for x
    x = 2,083,374,736/21,370
  6. Step 6: Final answer
    x = 97,490.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.