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Finding the Third Proportional to 14,728.50 and 32,724

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Solution

The third proportional to 14,728.50 and 32,724 is: 72,706.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,728.50 : 32,724 = 32,724 : x
  2. Step 2: Convert to fraction form
    14,728.50/32,724 = 32,724/x
  3. Step 3: Cross multiply
    14,728.50x = 32,724 × 32,724
  4. Step 4: Simplify right side
    14,728.50x = 1,070,860,176
  5. Step 5: Solve for x
    x = 1,070,860,176/14,728.50
  6. Step 6: Final answer
    x = 72,706.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.