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Finding the Third Proportional to 4,605.19 and 7,117.03

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Solution

The third proportional to 4,605.19 and 7,117.03 is: 10,998.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.19 : 7,117.03 = 7,117.03 : x
  2. Step 2: Convert to fraction form
    4,605.19/7,117.03 = 7,117.03/x
  3. Step 3: Cross multiply
    4,605.19x = 7,117.03 × 7,117.03
  4. Step 4: Simplify right side
    4,605.19x = 50,652,133.81
  5. Step 5: Solve for x
    x = 50,652,133.81/4,605.19
  6. Step 6: Final answer
    x = 10,998.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.