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Finding the Third Proportional to 10,783.50 and 14,491.13

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Solution

The third proportional to 10,783.50 and 14,491.13 is: 19,473.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.50 : 14,491.13 = 14,491.13 : x
  2. Step 2: Convert to fraction form
    10,783.50/14,491.13 = 14,491.13/x
  3. Step 3: Cross multiply
    10,783.50x = 14,491.13 × 14,491.13
  4. Step 4: Simplify right side
    10,783.50x = 209,992,703.77
  5. Step 5: Solve for x
    x = 209,992,703.77/10,783.50
  6. Step 6: Final answer
    x = 19,473.52

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.