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Finding the Third Proportional to 14,598.38 and 22,262.06

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Solution

The third proportional to 14,598.38 and 22,262.06 is: 33,948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,598.38 : 22,262.06 = 22,262.06 : x
  2. Step 2: Convert to fraction form
    14,598.38/22,262.06 = 22,262.06/x
  3. Step 3: Cross multiply
    14,598.38x = 22,262.06 × 22,262.06
  4. Step 4: Simplify right side
    14,598.38x = 495,599,426.75
  5. Step 5: Solve for x
    x = 495,599,426.75/14,598.38
  6. Step 6: Final answer
    x = 33,948.94

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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.