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Finding the Third Proportional to 39,999.75 and 92,602.50

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Solution

The third proportional to 39,999.75 and 92,602.50 is: 214,381.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,999.75 : 92,602.50 = 92,602.50 : x
  2. Step 2: Convert to fraction form
    39,999.75/92,602.50 = 92,602.50/x
  3. Step 3: Cross multiply
    39,999.75x = 92,602.50 × 92,602.50
  4. Step 4: Simplify right side
    39,999.75x = 8,575,223,006.25
  5. Step 5: Solve for x
    x = 8,575,223,006.25/39,999.75
  6. Step 6: Final answer
    x = 214,381.92

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.