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Finding the Third Proportional to 38,316 and 61,164

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Solution

The third proportional to 38,316 and 61,164 is: 97,636.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,316 : 61,164 = 61,164 : x
  2. Step 2: Convert to fraction form
    38,316/61,164 = 61,164/x
  3. Step 3: Cross multiply
    38,316x = 61,164 × 61,164
  4. Step 4: Simplify right side
    38,316x = 3,741,034,896
  5. Step 5: Solve for x
    x = 3,741,034,896/38,316
  6. Step 6: Final answer
    x = 97,636.36

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.