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Finding the Third Proportional to 18,130.50 and 32,332.50

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Solution

The third proportional to 18,130.50 and 32,332.50 is: 57,659.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,130.50 : 32,332.50 = 32,332.50 : x
  2. Step 2: Convert to fraction form
    18,130.50/32,332.50 = 32,332.50/x
  3. Step 3: Cross multiply
    18,130.50x = 32,332.50 × 32,332.50
  4. Step 4: Simplify right side
    18,130.50x = 1,045,390,556.25
  5. Step 5: Solve for x
    x = 1,045,390,556.25/18,130.50
  6. Step 6: Final answer
    x = 57,659.22

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.