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Finding the Third Proportional to 53,004 and 76,641

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Solution

The third proportional to 53,004 and 76,641 is: 110,818.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,004 : 76,641 = 76,641 : x
  2. Step 2: Convert to fraction form
    53,004/76,641 = 76,641/x
  3. Step 3: Cross multiply
    53,004x = 76,641 × 76,641
  4. Step 4: Simplify right side
    53,004x = 5,873,842,881
  5. Step 5: Solve for x
    x = 5,873,842,881/53,004
  6. Step 6: Final answer
    x = 110,818.86

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.