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Finding the Third Proportional to 7,584 and 10,854

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Solution

The third proportional to 7,584 and 10,854 is: 15,533.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584 : 10,854 = 10,854 : x
  2. Step 2: Convert to fraction form
    7,584/10,854 = 10,854/x
  3. Step 3: Cross multiply
    7,584x = 10,854 × 10,854
  4. Step 4: Simplify right side
    7,584x = 117,809,316
  5. Step 5: Solve for x
    x = 117,809,316/7,584
  6. Step 6: Final answer
    x = 15,533.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.