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Finding the Third Proportional to 37,430.75 and 55,051.75

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Solution

The third proportional to 37,430.75 and 55,051.75 is: 80,968.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,430.75 : 55,051.75 = 55,051.75 : x
  2. Step 2: Convert to fraction form
    37,430.75/55,051.75 = 55,051.75/x
  3. Step 3: Cross multiply
    37,430.75x = 55,051.75 × 55,051.75
  4. Step 4: Simplify right side
    37,430.75x = 3,030,695,178.06
  5. Step 5: Solve for x
    x = 3,030,695,178.06/37,430.75
  6. Step 6: Final answer
    x = 80,968.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.