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Finding the Third Proportional to 8,884.69 and 9,875.67

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Solution

The third proportional to 8,884.69 and 9,875.67 is: 10,977.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,884.69 : 9,875.67 = 9,875.67 : x
  2. Step 2: Convert to fraction form
    8,884.69/9,875.67 = 9,875.67/x
  3. Step 3: Cross multiply
    8,884.69x = 9,875.67 × 9,875.67
  4. Step 4: Simplify right side
    8,884.69x = 97,528,894.98
  5. Step 5: Solve for x
    x = 97,528,894.98/8,884.69
  6. Step 6: Final answer
    x = 10,977.19

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.