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Finding the Third Proportional to 5,021.16 and 7,385.34

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Solution

The third proportional to 5,021.16 and 7,385.34 is: 10,862.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,021.16 : 7,385.34 = 7,385.34 : x
  2. Step 2: Convert to fraction form
    5,021.16/7,385.34 = 7,385.34/x
  3. Step 3: Cross multiply
    5,021.16x = 7,385.34 × 7,385.34
  4. Step 4: Simplify right side
    5,021.16x = 54,543,302.31
  5. Step 5: Solve for x
    x = 54,543,302.31/5,021.16
  6. Step 6: Final answer
    x = 10,862.70

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