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Finding the Third Proportional to 7,435.13 and 14,050.13

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Solution

The third proportional to 7,435.13 and 14,050.13 is: 26,550.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,435.13 : 14,050.13 = 14,050.13 : x
  2. Step 2: Convert to fraction form
    7,435.13/14,050.13 = 14,050.13/x
  3. Step 3: Cross multiply
    7,435.13x = 14,050.13 × 14,050.13
  4. Step 4: Simplify right side
    7,435.13x = 197,406,012.52
  5. Step 5: Solve for x
    x = 197,406,012.52/7,435.13
  6. Step 6: Final answer
    x = 26,550.46

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.