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Finding the Third Proportional to 40,953 and 62,724

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Solution

The third proportional to 40,953 and 62,724 is: 96,068.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,953 : 62,724 = 62,724 : x
  2. Step 2: Convert to fraction form
    40,953/62,724 = 62,724/x
  3. Step 3: Cross multiply
    40,953x = 62,724 × 62,724
  4. Step 4: Simplify right side
    40,953x = 3,934,300,176
  5. Step 5: Solve for x
    x = 3,934,300,176/40,953
  6. Step 6: Final answer
    x = 96,068.67

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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.