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Finding the Third Proportional to 7,416 and 14,458.50

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Solution

The third proportional to 7,416 and 14,458.50 is: 28,188.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,416 : 14,458.50 = 14,458.50 : x
  2. Step 2: Convert to fraction form
    7,416/14,458.50 = 14,458.50/x
  3. Step 3: Cross multiply
    7,416x = 14,458.50 × 14,458.50
  4. Step 4: Simplify right side
    7,416x = 209,048,222.25
  5. Step 5: Solve for x
    x = 209,048,222.25/7,416
  6. Step 6: Final answer
    x = 28,188.81

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.