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Finding the Third Proportional to 40,985 and 61,854

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Solution

The third proportional to 40,985 and 61,854 is: 93,349.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,985 : 61,854 = 61,854 : x
  2. Step 2: Convert to fraction form
    40,985/61,854 = 61,854/x
  3. Step 3: Cross multiply
    40,985x = 61,854 × 61,854
  4. Step 4: Simplify right side
    40,985x = 3,825,917,316
  5. Step 5: Solve for x
    x = 3,825,917,316/40,985
  6. Step 6: Final answer
    x = 93,349.21

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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.