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Finding the Third Proportional to 7,435.13 and 13,807.13

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Solution

The third proportional to 7,435.13 and 13,807.13 is: 25,640.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,435.13 : 13,807.13 = 13,807.13 : x
  2. Step 2: Convert to fraction form
    7,435.13/13,807.13 = 13,807.13/x
  3. Step 3: Cross multiply
    7,435.13x = 13,807.13 × 13,807.13
  4. Step 4: Simplify right side
    7,435.13x = 190,636,700.77
  5. Step 5: Solve for x
    x = 190,636,700.77/7,435.13
  6. Step 6: Final answer
    x = 25,640.01

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.