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Finding the Third Proportional to 32,010.75 and 49,461.75

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Solution

The third proportional to 32,010.75 and 49,461.75 is: 76,426.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,010.75 : 49,461.75 = 49,461.75 : x
  2. Step 2: Convert to fraction form
    32,010.75/49,461.75 = 49,461.75/x
  3. Step 3: Cross multiply
    32,010.75x = 49,461.75 × 49,461.75
  4. Step 4: Simplify right side
    32,010.75x = 2,446,464,713.06
  5. Step 5: Solve for x
    x = 2,446,464,713.06/32,010.75
  6. Step 6: Final answer
    x = 76,426.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.