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Finding the Third Proportional to 21,975.75 and 32,553

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Solution

The third proportional to 21,975.75 and 32,553 is: 48,221.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,975.75 : 32,553 = 32,553 : x
  2. Step 2: Convert to fraction form
    21,975.75/32,553 = 32,553/x
  3. Step 3: Cross multiply
    21,975.75x = 32,553 × 32,553
  4. Step 4: Simplify right side
    21,975.75x = 1,059,697,809
  5. Step 5: Solve for x
    x = 1,059,697,809/21,975.75
  6. Step 6: Final answer
    x = 48,221.24

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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.