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Finding the Third Proportional to 14,698.13 and 22,354.88

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Solution

The third proportional to 14,698.13 and 22,354.88 is: 34,000.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,698.13 : 22,354.88 = 22,354.88 : x
  2. Step 2: Convert to fraction form
    14,698.13/22,354.88 = 22,354.88/x
  3. Step 3: Cross multiply
    14,698.13x = 22,354.88 × 22,354.88
  4. Step 4: Simplify right side
    14,698.13x = 499,740,436.27
  5. Step 5: Solve for x
    x = 499,740,436.27/14,698.13
  6. Step 6: Final answer
    x = 34,000.28

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