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Finding the Third Proportional to 7,083 and 16,543.13

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Solution

The third proportional to 7,083 and 16,543.13 is: 38,638.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083 : 16,543.13 = 16,543.13 : x
  2. Step 2: Convert to fraction form
    7,083/16,543.13 = 16,543.13/x
  3. Step 3: Cross multiply
    7,083x = 16,543.13 × 16,543.13
  4. Step 4: Simplify right side
    7,083x = 273,674,984.77
  5. Step 5: Solve for x
    x = 273,674,984.77/7,083
  6. Step 6: Final answer
    x = 38,638.29

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.