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Finding the Third Proportional to 37,636.76 and 55,415.51

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Solution

The third proportional to 37,636.76 and 55,415.51 is: 81,592.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,636.76 : 55,415.51 = 55,415.51 : x
  2. Step 2: Convert to fraction form
    37,636.76/55,415.51 = 55,415.51/x
  3. Step 3: Cross multiply
    37,636.76x = 55,415.51 × 55,415.51
  4. Step 4: Simplify right side
    37,636.76x = 3,070,878,668.47
  5. Step 5: Solve for x
    x = 3,070,878,668.47/37,636.76
  6. Step 6: Final answer
    x = 81,592.53

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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.