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Finding the Third Proportional to 24,710 and 53,956

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Solution

The third proportional to 24,710 and 53,956 is: 117,816.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,710 : 53,956 = 53,956 : x
  2. Step 2: Convert to fraction form
    24,710/53,956 = 53,956/x
  3. Step 3: Cross multiply
    24,710x = 53,956 × 53,956
  4. Step 4: Simplify right side
    24,710x = 2,911,249,936
  5. Step 5: Solve for x
    x = 2,911,249,936/24,710
  6. Step 6: Final answer
    x = 117,816.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.