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Finding the Third Proportional to 13,858.59 and 21,300.47

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Solution

The third proportional to 13,858.59 and 21,300.47 is: 32,738.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.59 : 21,300.47 = 21,300.47 : x
  2. Step 2: Convert to fraction form
    13,858.59/21,300.47 = 21,300.47/x
  3. Step 3: Cross multiply
    13,858.59x = 21,300.47 × 21,300.47
  4. Step 4: Simplify right side
    13,858.59x = 453,709,968.97
  5. Step 5: Solve for x
    x = 453,709,968.97/13,858.59
  6. Step 6: Final answer
    x = 32,738.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.