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Finding the Third Proportional to 32,907.52 and 69,813.14

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Solution

The third proportional to 32,907.52 and 69,813.14 is: 148,108.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,907.52 : 69,813.14 = 69,813.14 : x
  2. Step 2: Convert to fraction form
    32,907.52/69,813.14 = 69,813.14/x
  3. Step 3: Cross multiply
    32,907.52x = 69,813.14 × 69,813.14
  4. Step 4: Simplify right side
    32,907.52x = 4,873,874,603.93
  5. Step 5: Solve for x
    x = 4,873,874,603.93/32,907.52
  6. Step 6: Final answer
    x = 148,108.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.