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Finding the Third Proportional to 14,838.19 and 22,196.53

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Solution

The third proportional to 14,838.19 and 22,196.53 is: 33,203.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838.19 : 22,196.53 = 22,196.53 : x
  2. Step 2: Convert to fraction form
    14,838.19/22,196.53 = 22,196.53/x
  3. Step 3: Cross multiply
    14,838.19x = 22,196.53 × 22,196.53
  4. Step 4: Simplify right side
    14,838.19x = 492,685,999.53
  5. Step 5: Solve for x
    x = 492,685,999.53/14,838.19
  6. Step 6: Final answer
    x = 33,203.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.