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Finding the Third Proportional to 35,889 and 55,090

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Solution

The third proportional to 35,889 and 55,090 is: 84,563.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,889 : 55,090 = 55,090 : x
  2. Step 2: Convert to fraction form
    35,889/55,090 = 55,090/x
  3. Step 3: Cross multiply
    35,889x = 55,090 × 55,090
  4. Step 4: Simplify right side
    35,889x = 3,034,908,100
  5. Step 5: Solve for x
    x = 3,034,908,100/35,889
  6. Step 6: Final answer
    x = 84,563.74

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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.