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Finding the Third Proportional to 48,786 and 71,316

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Solution

The third proportional to 48,786 and 71,316 is: 104,250.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,786 : 71,316 = 71,316 : x
  2. Step 2: Convert to fraction form
    48,786/71,316 = 71,316/x
  3. Step 3: Cross multiply
    48,786x = 71,316 × 71,316
  4. Step 4: Simplify right side
    48,786x = 5,085,971,856
  5. Step 5: Solve for x
    x = 5,085,971,856/48,786
  6. Step 6: Final answer
    x = 104,250.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.