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Finding the Third Proportional to 22,985.65 and 35,147.04

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Solution

The third proportional to 22,985.65 and 35,147.04 is: 53,742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,985.65 : 35,147.04 = 35,147.04 : x
  2. Step 2: Convert to fraction form
    22,985.65/35,147.04 = 35,147.04/x
  3. Step 3: Cross multiply
    22,985.65x = 35,147.04 × 35,147.04
  4. Step 4: Simplify right side
    22,985.65x = 1,235,314,354.86
  5. Step 5: Solve for x
    x = 1,235,314,354.86/22,985.65
  6. Step 6: Final answer
    x = 53,742.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.