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Finding the Third Proportional to 42,242 and 61,827

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Solution

The third proportional to 42,242 and 61,827 is: 90,492.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,242 : 61,827 = 61,827 : x
  2. Step 2: Convert to fraction form
    42,242/61,827 = 61,827/x
  3. Step 3: Cross multiply
    42,242x = 61,827 × 61,827
  4. Step 4: Simplify right side
    42,242x = 3,822,577,929
  5. Step 5: Solve for x
    x = 3,822,577,929/42,242
  6. Step 6: Final answer
    x = 90,492.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.