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Finding the Third Proportional to 39,533.63 and 63,230.63

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Solution

The third proportional to 39,533.63 and 63,230.63 is: 101,131.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,533.63 : 63,230.63 = 63,230.63 : x
  2. Step 2: Convert to fraction form
    39,533.63/63,230.63 = 63,230.63/x
  3. Step 3: Cross multiply
    39,533.63x = 63,230.63 × 63,230.63
  4. Step 4: Simplify right side
    39,533.63x = 3,998,111,937.89
  5. Step 5: Solve for x
    x = 3,998,111,937.89/39,533.63
  6. Step 6: Final answer
    x = 101,131.93

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.