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Finding the Third Proportional to 12,300.16 and 19,581.53

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Solution

The third proportional to 12,300.16 and 19,581.53 is: 31,173.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,300.16 : 19,581.53 = 19,581.53 : x
  2. Step 2: Convert to fraction form
    12,300.16/19,581.53 = 19,581.53/x
  3. Step 3: Cross multiply
    12,300.16x = 19,581.53 × 19,581.53
  4. Step 4: Simplify right side
    12,300.16x = 383,436,366.09
  5. Step 5: Solve for x
    x = 383,436,366.09/12,300.16
  6. Step 6: Final answer
    x = 31,173.29

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.