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Finding the Third Proportional to 21,582 and 33,331.50

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Solution

The third proportional to 21,582 and 33,331.50 is: 51,477.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,582 : 33,331.50 = 33,331.50 : x
  2. Step 2: Convert to fraction form
    21,582/33,331.50 = 33,331.50/x
  3. Step 3: Cross multiply
    21,582x = 33,331.50 × 33,331.50
  4. Step 4: Simplify right side
    21,582x = 1,110,988,892.25
  5. Step 5: Solve for x
    x = 1,110,988,892.25/21,582
  6. Step 6: Final answer
    x = 51,477.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.