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Finding the Third Proportional to 9,175.50 and 24,421.50

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Solution

The third proportional to 9,175.50 and 24,421.50 is: 65,000.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.50 : 24,421.50 = 24,421.50 : x
  2. Step 2: Convert to fraction form
    9,175.50/24,421.50 = 24,421.50/x
  3. Step 3: Cross multiply
    9,175.50x = 24,421.50 × 24,421.50
  4. Step 4: Simplify right side
    9,175.50x = 596,409,662.25
  5. Step 5: Solve for x
    x = 596,409,662.25/9,175.50
  6. Step 6: Final answer
    x = 65,000.24

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Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.