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Finding the Third Proportional to 38,312 and 84,076

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Solution

The third proportional to 38,312 and 84,076 is: 184,505.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,312 : 84,076 = 84,076 : x
  2. Step 2: Convert to fraction form
    38,312/84,076 = 84,076/x
  3. Step 3: Cross multiply
    38,312x = 84,076 × 84,076
  4. Step 4: Simplify right side
    38,312x = 7,068,773,776
  5. Step 5: Solve for x
    x = 7,068,773,776/38,312
  6. Step 6: Final answer
    x = 184,505.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.