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Finding the Third Proportional to 37,090 and 55,953

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Solution

The third proportional to 37,090 and 55,953 is: 84,409.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,090 : 55,953 = 55,953 : x
  2. Step 2: Convert to fraction form
    37,090/55,953 = 55,953/x
  3. Step 3: Cross multiply
    37,090x = 55,953 × 55,953
  4. Step 4: Simplify right side
    37,090x = 3,130,738,209
  5. Step 5: Solve for x
    x = 3,130,738,209/37,090
  6. Step 6: Final answer
    x = 84,409.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.