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Finding the Third Proportional to 14,407.88 and 21,907.97

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Solution

The third proportional to 14,407.88 and 21,907.97 is: 33,312.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407.88 : 21,907.97 = 21,907.97 : x
  2. Step 2: Convert to fraction form
    14,407.88/21,907.97 = 21,907.97/x
  3. Step 3: Cross multiply
    14,407.88x = 21,907.97 × 21,907.97
  4. Step 4: Simplify right side
    14,407.88x = 479,959,094.75
  5. Step 5: Solve for x
    x = 479,959,094.75/14,407.88
  6. Step 6: Final answer
    x = 33,312.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.