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Finding the Third Proportional to 24,595.50 and 53,808

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Solution

The third proportional to 24,595.50 and 53,808 is: 117,716.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,595.50 : 53,808 = 53,808 : x
  2. Step 2: Convert to fraction form
    24,595.50/53,808 = 53,808/x
  3. Step 3: Cross multiply
    24,595.50x = 53,808 × 53,808
  4. Step 4: Simplify right side
    24,595.50x = 2,895,300,864
  5. Step 5: Solve for x
    x = 2,895,300,864/24,595.50
  6. Step 6: Final answer
    x = 117,716.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.