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Finding the Third Proportional to 13,030.88 and 20,981.53

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Solution

The third proportional to 13,030.88 and 20,981.53 is: 33,783.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,030.88 : 20,981.53 = 20,981.53 : x
  2. Step 2: Convert to fraction form
    13,030.88/20,981.53 = 20,981.53/x
  3. Step 3: Cross multiply
    13,030.88x = 20,981.53 × 20,981.53
  4. Step 4: Simplify right side
    13,030.88x = 440,224,653.59
  5. Step 5: Solve for x
    x = 440,224,653.59/13,030.88
  6. Step 6: Final answer
    x = 33,783.20

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.