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Finding the Third Proportional to 39,915 and 94,046

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Solution

The third proportional to 39,915 and 94,046 is: 221,587.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,915 : 94,046 = 94,046 : x
  2. Step 2: Convert to fraction form
    39,915/94,046 = 94,046/x
  3. Step 3: Cross multiply
    39,915x = 94,046 × 94,046
  4. Step 4: Simplify right side
    39,915x = 8,844,650,116
  5. Step 5: Solve for x
    x = 8,844,650,116/39,915
  6. Step 6: Final answer
    x = 221,587.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.