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Finding the Third Proportional to 5,103 and 7,492.18

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Solution

The third proportional to 5,103 and 7,492.18 is: 10,999.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103 : 7,492.18 = 7,492.18 : x
  2. Step 2: Convert to fraction form
    5,103/7,492.18 = 7,492.18/x
  3. Step 3: Cross multiply
    5,103x = 7,492.18 × 7,492.18
  4. Step 4: Simplify right side
    5,103x = 56,132,815.00
  5. Step 5: Solve for x
    x = 56,132,815.00/5,103
  6. Step 6: Final answer
    x = 10,999.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.