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Finding the Third Proportional to 14,749.88 and 22,562.72

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Solution

The third proportional to 14,749.88 and 22,562.72 is: 34,513.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,749.88 : 22,562.72 = 22,562.72 : x
  2. Step 2: Convert to fraction form
    14,749.88/22,562.72 = 22,562.72/x
  3. Step 3: Cross multiply
    14,749.88x = 22,562.72 × 22,562.72
  4. Step 4: Simplify right side
    14,749.88x = 509,076,277.39
  5. Step 5: Solve for x
    x = 509,076,277.39/14,749.88
  6. Step 6: Final answer
    x = 34,513.94

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.