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Finding the Third Proportional to 19,461 and 30,407

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Solution

The third proportional to 19,461 and 30,407 is: 47,509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,461 : 30,407 = 30,407 : x
  2. Step 2: Convert to fraction form
    19,461/30,407 = 30,407/x
  3. Step 3: Cross multiply
    19,461x = 30,407 × 30,407
  4. Step 4: Simplify right side
    19,461x = 924,585,649
  5. Step 5: Solve for x
    x = 924,585,649/19,461
  6. Step 6: Final answer
    x = 47,509.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.