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Finding the Third Proportional to 27,831.50 and 42,666

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Solution

The third proportional to 27,831.50 and 42,666 is: 65,407.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,831.50 : 42,666 = 42,666 : x
  2. Step 2: Convert to fraction form
    27,831.50/42,666 = 42,666/x
  3. Step 3: Cross multiply
    27,831.50x = 42,666 × 42,666
  4. Step 4: Simplify right side
    27,831.50x = 1,820,387,556
  5. Step 5: Solve for x
    x = 1,820,387,556/27,831.50
  6. Step 6: Final answer
    x = 65,407.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.