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Finding the Third Proportional to 22,156.31 and 32,886.56

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Solution

The third proportional to 22,156.31 and 32,886.56 is: 48,813.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,156.31 : 32,886.56 = 32,886.56 : x
  2. Step 2: Convert to fraction form
    22,156.31/32,886.56 = 32,886.56/x
  3. Step 3: Cross multiply
    22,156.31x = 32,886.56 × 32,886.56
  4. Step 4: Simplify right side
    22,156.31x = 1,081,525,993.07
  5. Step 5: Solve for x
    x = 1,081,525,993.07/22,156.31
  6. Step 6: Final answer
    x = 48,813.45

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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.