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Finding the Third Proportional to 9,585 and 10,975.50

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Solution

The third proportional to 9,585 and 10,975.50 is: 12,567.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585 : 10,975.50 = 10,975.50 : x
  2. Step 2: Convert to fraction form
    9,585/10,975.50 = 10,975.50/x
  3. Step 3: Cross multiply
    9,585x = 10,975.50 × 10,975.50
  4. Step 4: Simplify right side
    9,585x = 120,461,600.25
  5. Step 5: Solve for x
    x = 120,461,600.25/9,585
  6. Step 6: Final answer
    x = 12,567.72

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.