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Finding the Third Proportional to 39,657 and 85,847.50

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Solution

The third proportional to 39,657 and 85,847.50 is: 185,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,657 : 85,847.50 = 85,847.50 : x
  2. Step 2: Convert to fraction form
    39,657/85,847.50 = 85,847.50/x
  3. Step 3: Cross multiply
    39,657x = 85,847.50 × 85,847.50
  4. Step 4: Simplify right side
    39,657x = 7,369,793,256.25
  5. Step 5: Solve for x
    x = 7,369,793,256.25/39,657
  6. Step 6: Final answer
    x = 185,838.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.