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Finding the Third Proportional to 4,148 and 7,316

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Solution

The third proportional to 4,148 and 7,316 is: 12,903.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148 : 7,316 = 7,316 : x
  2. Step 2: Convert to fraction form
    4,148/7,316 = 7,316/x
  3. Step 3: Cross multiply
    4,148x = 7,316 × 7,316
  4. Step 4: Simplify right side
    4,148x = 53,523,856
  5. Step 5: Solve for x
    x = 53,523,856/4,148
  6. Step 6: Final answer
    x = 12,903.53

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.