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Finding the Third Proportional to 14,823 and 25,798.50

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Solution

The third proportional to 14,823 and 25,798.50 is: 44,900.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,823 : 25,798.50 = 25,798.50 : x
  2. Step 2: Convert to fraction form
    14,823/25,798.50 = 25,798.50/x
  3. Step 3: Cross multiply
    14,823x = 25,798.50 × 25,798.50
  4. Step 4: Simplify right side
    14,823x = 665,562,602.25
  5. Step 5: Solve for x
    x = 665,562,602.25/14,823
  6. Step 6: Final answer
    x = 44,900.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.