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Finding the Third Proportional to 10,038.94 and 14,698.31

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Solution

The third proportional to 10,038.94 and 14,698.31 is: 21,520.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.94 : 14,698.31 = 14,698.31 : x
  2. Step 2: Convert to fraction form
    10,038.94/14,698.31 = 14,698.31/x
  3. Step 3: Cross multiply
    10,038.94x = 14,698.31 × 14,698.31
  4. Step 4: Simplify right side
    10,038.94x = 216,040,390.35
  5. Step 5: Solve for x
    x = 216,040,390.35/10,038.94
  6. Step 6: Final answer
    x = 21,520.24

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.