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Finding the Third Proportional to 7,810.50 and 13,888.50

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Solution

The third proportional to 7,810.50 and 13,888.50 is: 24,696.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.50 : 13,888.50 = 13,888.50 : x
  2. Step 2: Convert to fraction form
    7,810.50/13,888.50 = 13,888.50/x
  3. Step 3: Cross multiply
    7,810.50x = 13,888.50 × 13,888.50
  4. Step 4: Simplify right side
    7,810.50x = 192,890,432.25
  5. Step 5: Solve for x
    x = 192,890,432.25/7,810.50
  6. Step 6: Final answer
    x = 24,696.30

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.