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Finding the Third Proportional to 36,748 and 79,316

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Solution

The third proportional to 36,748 and 79,316 is: 171,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,748 : 79,316 = 79,316 : x
  2. Step 2: Convert to fraction form
    36,748/79,316 = 79,316/x
  3. Step 3: Cross multiply
    36,748x = 79,316 × 79,316
  4. Step 4: Simplify right side
    36,748x = 6,291,027,856
  5. Step 5: Solve for x
    x = 6,291,027,856/36,748
  6. Step 6: Final answer
    x = 171,193.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.