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Finding the Third Proportional to 41,500 and 63,465

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Solution

The third proportional to 41,500 and 63,465 is: 97,055.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,500 : 63,465 = 63,465 : x
  2. Step 2: Convert to fraction form
    41,500/63,465 = 63,465/x
  3. Step 3: Cross multiply
    41,500x = 63,465 × 63,465
  4. Step 4: Simplify right side
    41,500x = 4,027,806,225
  5. Step 5: Solve for x
    x = 4,027,806,225/41,500
  6. Step 6: Final answer
    x = 97,055.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.