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Finding the Third Proportional to 47,664 and 66,957.75

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Solution

The third proportional to 47,664 and 66,957.75 is: 94,061.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,664 : 66,957.75 = 66,957.75 : x
  2. Step 2: Convert to fraction form
    47,664/66,957.75 = 66,957.75/x
  3. Step 3: Cross multiply
    47,664x = 66,957.75 × 66,957.75
  4. Step 4: Simplify right side
    47,664x = 4,483,340,285.06
  5. Step 5: Solve for x
    x = 4,483,340,285.06/47,664
  6. Step 6: Final answer
    x = 94,061.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.