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Finding the Third Proportional to 9,614.53 and 21,051.56

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Solution

The third proportional to 9,614.53 and 21,051.56 is: 46,093.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.53 : 21,051.56 = 21,051.56 : x
  2. Step 2: Convert to fraction form
    9,614.53/21,051.56 = 21,051.56/x
  3. Step 3: Cross multiply
    9,614.53x = 21,051.56 × 21,051.56
  4. Step 4: Simplify right side
    9,614.53x = 443,168,283.69
  5. Step 5: Solve for x
    x = 443,168,283.69/9,614.53
  6. Step 6: Final answer
    x = 46,093.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.