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Finding the Third Proportional to 27,615.94 and 42,603.47

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Solution

The third proportional to 27,615.94 and 42,603.47 is: 65,724.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,615.94 : 42,603.47 = 42,603.47 : x
  2. Step 2: Convert to fraction form
    27,615.94/42,603.47 = 42,603.47/x
  3. Step 3: Cross multiply
    27,615.94x = 42,603.47 × 42,603.47
  4. Step 4: Simplify right side
    27,615.94x = 1,815,055,549.53
  5. Step 5: Solve for x
    x = 1,815,055,549.53/27,615.94
  6. Step 6: Final answer
    x = 65,724.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.