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Finding the Third Proportional to 4,985.30 and 9,161.86

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Solution

The third proportional to 4,985.30 and 9,161.86 is: 16,837.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,985.30 : 9,161.86 = 9,161.86 : x
  2. Step 2: Convert to fraction form
    4,985.30/9,161.86 = 9,161.86/x
  3. Step 3: Cross multiply
    4,985.30x = 9,161.86 × 9,161.86
  4. Step 4: Simplify right side
    4,985.30x = 83,939,667.21
  5. Step 5: Solve for x
    x = 83,939,667.21/4,985.30
  6. Step 6: Final answer
    x = 16,837.45

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.