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Finding the Third Proportional to 21,347.50 and 31,468.75

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Solution

The third proportional to 21,347.50 and 31,468.75 is: 46,388.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,347.50 : 31,468.75 = 31,468.75 : x
  2. Step 2: Convert to fraction form
    21,347.50/31,468.75 = 31,468.75/x
  3. Step 3: Cross multiply
    21,347.50x = 31,468.75 × 31,468.75
  4. Step 4: Simplify right side
    21,347.50x = 990,282,226.56
  5. Step 5: Solve for x
    x = 990,282,226.56/21,347.50
  6. Step 6: Final answer
    x = 46,388.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.