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Finding the Third Proportional to 7,643.25 and 15,762.38

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Solution

The third proportional to 7,643.25 and 15,762.38 is: 32,506.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.25 : 15,762.38 = 15,762.38 : x
  2. Step 2: Convert to fraction form
    7,643.25/15,762.38 = 15,762.38/x
  3. Step 3: Cross multiply
    7,643.25x = 15,762.38 × 15,762.38
  4. Step 4: Simplify right side
    7,643.25x = 248,452,465.64
  5. Step 5: Solve for x
    x = 248,452,465.64/7,643.25
  6. Step 6: Final answer
    x = 32,506.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.