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Finding the Third Proportional to 40,548 and 93,972

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Solution

The third proportional to 40,548 and 93,972 is: 217,784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,548 : 93,972 = 93,972 : x
  2. Step 2: Convert to fraction form
    40,548/93,972 = 93,972/x
  3. Step 3: Cross multiply
    40,548x = 93,972 × 93,972
  4. Step 4: Simplify right side
    40,548x = 8,830,736,784
  5. Step 5: Solve for x
    x = 8,830,736,784/40,548
  6. Step 6: Final answer
    x = 217,784.77

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.