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Finding the Third Proportional to 14,420.53 and 30,788.86

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Solution

The third proportional to 14,420.53 and 30,788.86 is: 65,736.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,420.53 : 30,788.86 = 30,788.86 : x
  2. Step 2: Convert to fraction form
    14,420.53/30,788.86 = 30,788.86/x
  3. Step 3: Cross multiply
    14,420.53x = 30,788.86 × 30,788.86
  4. Step 4: Simplify right side
    14,420.53x = 947,953,861.61
  5. Step 5: Solve for x
    x = 947,953,861.61/14,420.53
  6. Step 6: Final answer
    x = 65,736.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.