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Finding the Third Proportional to 14,805 and 24,277.50

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Solution

The third proportional to 14,805 and 24,277.50 is: 39,810.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,805 : 24,277.50 = 24,277.50 : x
  2. Step 2: Convert to fraction form
    14,805/24,277.50 = 24,277.50/x
  3. Step 3: Cross multiply
    14,805x = 24,277.50 × 24,277.50
  4. Step 4: Simplify right side
    14,805x = 589,397,006.25
  5. Step 5: Solve for x
    x = 589,397,006.25/14,805
  6. Step 6: Final answer
    x = 39,810.67

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.