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Finding the Third Proportional to 10,194.19 and 14,897.91

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Solution

The third proportional to 10,194.19 and 14,897.91 is: 21,771.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.19 : 14,897.91 = 14,897.91 : x
  2. Step 2: Convert to fraction form
    10,194.19/14,897.91 = 14,897.91/x
  3. Step 3: Cross multiply
    10,194.19x = 14,897.91 × 14,897.91
  4. Step 4: Simplify right side
    10,194.19x = 221,947,610.63
  5. Step 5: Solve for x
    x = 221,947,610.63/10,194.19
  6. Step 6: Final answer
    x = 21,771.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.