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Finding the Third Proportional to 40,246 and 58,046

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Solution

The third proportional to 40,246 and 58,046 is: 83,718.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,246 : 58,046 = 58,046 : x
  2. Step 2: Convert to fraction form
    40,246/58,046 = 58,046/x
  3. Step 3: Cross multiply
    40,246x = 58,046 × 58,046
  4. Step 4: Simplify right side
    40,246x = 3,369,338,116
  5. Step 5: Solve for x
    x = 3,369,338,116/40,246
  6. Step 6: Final answer
    x = 83,718.58

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.