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Finding the Third Proportional to 40,222.50 and 93,516

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Solution

The third proportional to 40,222.50 and 93,516 is: 217,421.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,222.50 : 93,516 = 93,516 : x
  2. Step 2: Convert to fraction form
    40,222.50/93,516 = 93,516/x
  3. Step 3: Cross multiply
    40,222.50x = 93,516 × 93,516
  4. Step 4: Simplify right side
    40,222.50x = 8,745,242,256
  5. Step 5: Solve for x
    x = 8,745,242,256/40,222.50
  6. Step 6: Final answer
    x = 217,421.65

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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.