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Finding the Third Proportional to 27,431 and 40,966.50

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Solution

The third proportional to 27,431 and 40,966.50 is: 61,180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,431 : 40,966.50 = 40,966.50 : x
  2. Step 2: Convert to fraction form
    27,431/40,966.50 = 40,966.50/x
  3. Step 3: Cross multiply
    27,431x = 40,966.50 × 40,966.50
  4. Step 4: Simplify right side
    27,431x = 1,678,254,122.25
  5. Step 5: Solve for x
    x = 1,678,254,122.25/27,431
  6. Step 6: Final answer
    x = 61,180.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.