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Finding the Third Proportional to 7,953.19 and 8,499.94

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Solution

The third proportional to 7,953.19 and 8,499.94 is: 9,084.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,953.19 : 8,499.94 = 8,499.94 : x
  2. Step 2: Convert to fraction form
    7,953.19/8,499.94 = 8,499.94/x
  3. Step 3: Cross multiply
    7,953.19x = 8,499.94 × 8,499.94
  4. Step 4: Simplify right side
    7,953.19x = 72,248,937.50
  5. Step 5: Solve for x
    x = 72,248,937.50/7,953.19
  6. Step 6: Final answer
    x = 9,084.27

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.