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Finding the Third Proportional to 6,751 and 9,898.50

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Solution

The third proportional to 6,751 and 9,898.50 is: 14,513.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751 : 9,898.50 = 9,898.50 : x
  2. Step 2: Convert to fraction form
    6,751/9,898.50 = 9,898.50/x
  3. Step 3: Cross multiply
    6,751x = 9,898.50 × 9,898.50
  4. Step 4: Simplify right side
    6,751x = 97,980,302.25
  5. Step 5: Solve for x
    x = 97,980,302.25/6,751
  6. Step 6: Final answer
    x = 14,513.45

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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.