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Finding the Third Proportional to 40,034 and 85,726

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Solution

The third proportional to 40,034 and 85,726 is: 183,567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,034 : 85,726 = 85,726 : x
  2. Step 2: Convert to fraction form
    40,034/85,726 = 85,726/x
  3. Step 3: Cross multiply
    40,034x = 85,726 × 85,726
  4. Step 4: Simplify right side
    40,034x = 7,348,947,076
  5. Step 5: Solve for x
    x = 7,348,947,076/40,034
  6. Step 6: Final answer
    x = 183,567.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.