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Finding the Third Proportional to 14,200.50 and 25,117.50

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Solution

The third proportional to 14,200.50 and 25,117.50 is: 44,427.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200.50 : 25,117.50 = 25,117.50 : x
  2. Step 2: Convert to fraction form
    14,200.50/25,117.50 = 25,117.50/x
  3. Step 3: Cross multiply
    14,200.50x = 25,117.50 × 25,117.50
  4. Step 4: Simplify right side
    14,200.50x = 630,888,806.25
  5. Step 5: Solve for x
    x = 630,888,806.25/14,200.50
  6. Step 6: Final answer
    x = 44,427.22

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.