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Finding the Third Proportional to 24,430 and 53,964

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Solution

The third proportional to 24,430 and 53,964 is: 119,202.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,430 : 53,964 = 53,964 : x
  2. Step 2: Convert to fraction form
    24,430/53,964 = 53,964/x
  3. Step 3: Cross multiply
    24,430x = 53,964 × 53,964
  4. Step 4: Simplify right side
    24,430x = 2,912,113,296
  5. Step 5: Solve for x
    x = 2,912,113,296/24,430
  6. Step 6: Final answer
    x = 119,202.35

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.