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Finding the Third Proportional to 20,507.63 and 32,127.75

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Solution

The third proportional to 20,507.63 and 32,127.75 is: 50,332.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,507.63 : 32,127.75 = 32,127.75 : x
  2. Step 2: Convert to fraction form
    20,507.63/32,127.75 = 32,127.75/x
  3. Step 3: Cross multiply
    20,507.63x = 32,127.75 × 32,127.75
  4. Step 4: Simplify right side
    20,507.63x = 1,032,192,320.06
  5. Step 5: Solve for x
    x = 1,032,192,320.06/20,507.63
  6. Step 6: Final answer
    x = 50,332.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.