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Finding the Third Proportional to 12,356.93 and 13,535.86

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Solution

The third proportional to 12,356.93 and 13,535.86 is: 14,827.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,356.93 : 13,535.86 = 13,535.86 : x
  2. Step 2: Convert to fraction form
    12,356.93/13,535.86 = 13,535.86/x
  3. Step 3: Cross multiply
    12,356.93x = 13,535.86 × 13,535.86
  4. Step 4: Simplify right side
    12,356.93x = 183,219,489.02
  5. Step 5: Solve for x
    x = 183,219,489.02/12,356.93
  6. Step 6: Final answer
    x = 14,827.27

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.