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Finding the Third Proportional to 9,935.44 and 13,925.53

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Solution

The third proportional to 9,935.44 and 13,925.53 is: 19,518.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935.44 : 13,925.53 = 13,925.53 : x
  2. Step 2: Convert to fraction form
    9,935.44/13,925.53 = 13,925.53/x
  3. Step 3: Cross multiply
    9,935.44x = 13,925.53 × 13,925.53
  4. Step 4: Simplify right side
    9,935.44x = 193,920,420.59
  5. Step 5: Solve for x
    x = 193,920,420.59/9,935.44
  6. Step 6: Final answer
    x = 19,518.06

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.