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Finding the Third Proportional to 21,463 and 32,070

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Solution

The third proportional to 21,463 and 32,070 is: 47,918.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,463 : 32,070 = 32,070 : x
  2. Step 2: Convert to fraction form
    21,463/32,070 = 32,070/x
  3. Step 3: Cross multiply
    21,463x = 32,070 × 32,070
  4. Step 4: Simplify right side
    21,463x = 1,028,484,900
  5. Step 5: Solve for x
    x = 1,028,484,900/21,463
  6. Step 6: Final answer
    x = 47,918.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.