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Finding the Third Proportional to 30,416.50 and 65,037

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Solution

The third proportional to 30,416.50 and 65,037 is: 139,063.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,416.50 : 65,037 = 65,037 : x
  2. Step 2: Convert to fraction form
    30,416.50/65,037 = 65,037/x
  3. Step 3: Cross multiply
    30,416.50x = 65,037 × 65,037
  4. Step 4: Simplify right side
    30,416.50x = 4,229,811,369
  5. Step 5: Solve for x
    x = 4,229,811,369/30,416.50
  6. Step 6: Final answer
    x = 139,063.05

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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.