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Finding the Third Proportional to 14,454.70 and 22,758.47

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Solution

The third proportional to 14,454.70 and 22,758.47 is: 35,832.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454.70 : 22,758.47 = 22,758.47 : x
  2. Step 2: Convert to fraction form
    14,454.70/22,758.47 = 22,758.47/x
  3. Step 3: Cross multiply
    14,454.70x = 22,758.47 × 22,758.47
  4. Step 4: Simplify right side
    14,454.70x = 517,947,899.84
  5. Step 5: Solve for x
    x = 517,947,899.84/14,454.70
  6. Step 6: Final answer
    x = 35,832.48

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.