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Finding the Third Proportional to 10,975.50 and 24,033

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Solution

The third proportional to 10,975.50 and 24,033 is: 52,624.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975.50 : 24,033 = 24,033 : x
  2. Step 2: Convert to fraction form
    10,975.50/24,033 = 24,033/x
  3. Step 3: Cross multiply
    10,975.50x = 24,033 × 24,033
  4. Step 4: Simplify right side
    10,975.50x = 577,585,089
  5. Step 5: Solve for x
    x = 577,585,089/10,975.50
  6. Step 6: Final answer
    x = 52,624.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.