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Finding the Third Proportional to 40,844 and 59,490

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Solution

The third proportional to 40,844 and 59,490 is: 86,648.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,844 : 59,490 = 59,490 : x
  2. Step 2: Convert to fraction form
    40,844/59,490 = 59,490/x
  3. Step 3: Cross multiply
    40,844x = 59,490 × 59,490
  4. Step 4: Simplify right side
    40,844x = 3,539,060,100
  5. Step 5: Solve for x
    x = 3,539,060,100/40,844
  6. Step 6: Final answer
    x = 86,648.22

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