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Finding the Third Proportional to 36,412.50 and 79,053

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Solution

The third proportional to 36,412.50 and 79,053 is: 171,627.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,412.50 : 79,053 = 79,053 : x
  2. Step 2: Convert to fraction form
    36,412.50/79,053 = 79,053/x
  3. Step 3: Cross multiply
    36,412.50x = 79,053 × 79,053
  4. Step 4: Simplify right side
    36,412.50x = 6,249,376,809
  5. Step 5: Solve for x
    x = 6,249,376,809/36,412.50
  6. Step 6: Final answer
    x = 171,627.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.