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Finding the Third Proportional to 21,646.69 and 32,533.03

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Solution

The third proportional to 21,646.69 and 32,533.03 is: 48,894.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,646.69 : 32,533.03 = 32,533.03 : x
  2. Step 2: Convert to fraction form
    21,646.69/32,533.03 = 32,533.03/x
  3. Step 3: Cross multiply
    21,646.69x = 32,533.03 × 32,533.03
  4. Step 4: Simplify right side
    21,646.69x = 1,058,398,122.31
  5. Step 5: Solve for x
    x = 1,058,398,122.31/21,646.69
  6. Step 6: Final answer
    x = 48,894.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.