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Finding the Third Proportional to 53,698.50 and 82,575

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Solution

The third proportional to 53,698.50 and 82,575 is: 126,979.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,698.50 : 82,575 = 82,575 : x
  2. Step 2: Convert to fraction form
    53,698.50/82,575 = 82,575/x
  3. Step 3: Cross multiply
    53,698.50x = 82,575 × 82,575
  4. Step 4: Simplify right side
    53,698.50x = 6,818,630,625
  5. Step 5: Solve for x
    x = 6,818,630,625/53,698.50
  6. Step 6: Final answer
    x = 126,979.91

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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.