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Finding the Third Proportional to 38,835 and 84,938.50

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Solution

The third proportional to 38,835 and 84,938.50 is: 185,774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,835 : 84,938.50 = 84,938.50 : x
  2. Step 2: Convert to fraction form
    38,835/84,938.50 = 84,938.50/x
  3. Step 3: Cross multiply
    38,835x = 84,938.50 × 84,938.50
  4. Step 4: Simplify right side
    38,835x = 7,214,548,782.25
  5. Step 5: Solve for x
    x = 7,214,548,782.25/38,835
  6. Step 6: Final answer
    x = 185,774.40

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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.