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Finding the Third Proportional to 14,738.63 and 15,953.63

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Solution

The third proportional to 14,738.63 and 15,953.63 is: 17,268.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,738.63 : 15,953.63 = 15,953.63 : x
  2. Step 2: Convert to fraction form
    14,738.63/15,953.63 = 15,953.63/x
  3. Step 3: Cross multiply
    14,738.63x = 15,953.63 × 15,953.63
  4. Step 4: Simplify right side
    14,738.63x = 254,518,150.64
  5. Step 5: Solve for x
    x = 254,518,150.64/14,738.63
  6. Step 6: Final answer
    x = 17,268.79

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.