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Finding the Third Proportional to 21,888.56 and 34,200.56

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Solution

The third proportional to 21,888.56 and 34,200.56 is: 53,437.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,888.56 : 34,200.56 = 34,200.56 : x
  2. Step 2: Convert to fraction form
    21,888.56/34,200.56 = 34,200.56/x
  3. Step 3: Cross multiply
    21,888.56x = 34,200.56 × 34,200.56
  4. Step 4: Simplify right side
    21,888.56x = 1,169,678,475.32
  5. Step 5: Solve for x
    x = 1,169,678,475.32/21,888.56
  6. Step 6: Final answer
    x = 53,437.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.