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Finding the Third Proportional to 21,975.25 and 32,551.88

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Solution

The third proportional to 21,975.25 and 32,551.88 is: 48,219.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,975.25 : 32,551.88 = 32,551.88 : x
  2. Step 2: Convert to fraction form
    21,975.25/32,551.88 = 32,551.88/x
  3. Step 3: Cross multiply
    21,975.25x = 32,551.88 × 32,551.88
  4. Step 4: Simplify right side
    21,975.25x = 1,059,624,566.02
  5. Step 5: Solve for x
    x = 1,059,624,566.02/21,975.25
  6. Step 6: Final answer
    x = 48,219.00

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.