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Finding the Third Proportional to 7,185 and 10,541

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Solution

The third proportional to 7,185 and 10,541 is: 15,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185 : 10,541 = 10,541 : x
  2. Step 2: Convert to fraction form
    7,185/10,541 = 10,541/x
  3. Step 3: Cross multiply
    7,185x = 10,541 × 10,541
  4. Step 4: Simplify right side
    7,185x = 111,112,681
  5. Step 5: Solve for x
    x = 111,112,681/7,185
  6. Step 6: Final answer
    x = 15,464.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.