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Finding the Third Proportional to 14,980 and 32,416

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Solution

The third proportional to 14,980 and 32,416 is: 70,146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,980 : 32,416 = 32,416 : x
  2. Step 2: Convert to fraction form
    14,980/32,416 = 32,416/x
  3. Step 3: Cross multiply
    14,980x = 32,416 × 32,416
  4. Step 4: Simplify right side
    14,980x = 1,050,797,056
  5. Step 5: Solve for x
    x = 1,050,797,056/14,980
  6. Step 6: Final answer
    x = 70,146.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.