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Finding the Third Proportional to 7,348.50 and 14,457.38

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Solution

The third proportional to 7,348.50 and 14,457.38 is: 28,443.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348.50 : 14,457.38 = 14,457.38 : x
  2. Step 2: Convert to fraction form
    7,348.50/14,457.38 = 14,457.38/x
  3. Step 3: Cross multiply
    7,348.50x = 14,457.38 × 14,457.38
  4. Step 4: Simplify right side
    7,348.50x = 209,015,691.89
  5. Step 5: Solve for x
    x = 209,015,691.89/7,348.50
  6. Step 6: Final answer
    x = 28,443.31

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.