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Finding the Third Proportional to 38,312 and 83,520

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Solution

The third proportional to 38,312 and 83,520 is: 182,073.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,312 : 83,520 = 83,520 : x
  2. Step 2: Convert to fraction form
    38,312/83,520 = 83,520/x
  3. Step 3: Cross multiply
    38,312x = 83,520 × 83,520
  4. Step 4: Simplify right side
    38,312x = 6,975,590,400
  5. Step 5: Solve for x
    x = 6,975,590,400/38,312
  6. Step 6: Final answer
    x = 182,073.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.