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Finding the Third Proportional to 7,055.02 and 9,609.26

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Solution

The third proportional to 7,055.02 and 9,609.26 is: 13,088.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.02 : 9,609.26 = 9,609.26 : x
  2. Step 2: Convert to fraction form
    7,055.02/9,609.26 = 9,609.26/x
  3. Step 3: Cross multiply
    7,055.02x = 9,609.26 × 9,609.26
  4. Step 4: Simplify right side
    7,055.02x = 92,337,835.71
  5. Step 5: Solve for x
    x = 92,337,835.71/7,055.02
  6. Step 6: Final answer
    x = 13,088.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.