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Finding the Third Proportional to 7,106.06 and 14,666.06

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Solution

The third proportional to 7,106.06 and 14,666.06 is: 30,269.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.06 : 14,666.06 = 14,666.06 : x
  2. Step 2: Convert to fraction form
    7,106.06/14,666.06 = 14,666.06/x
  3. Step 3: Cross multiply
    7,106.06x = 14,666.06 × 14,666.06
  4. Step 4: Simplify right side
    7,106.06x = 215,093,389.25
  5. Step 5: Solve for x
    x = 215,093,389.25/7,106.06
  6. Step 6: Final answer
    x = 30,269.00

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.