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Finding the Third Proportional to 27,459 and 40,145.63

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Solution

The third proportional to 27,459 and 40,145.63 is: 58,693.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,459 : 40,145.63 = 40,145.63 : x
  2. Step 2: Convert to fraction form
    27,459/40,145.63 = 40,145.63/x
  3. Step 3: Cross multiply
    27,459x = 40,145.63 × 40,145.63
  4. Step 4: Simplify right side
    27,459x = 1,611,671,206.64
  5. Step 5: Solve for x
    x = 1,611,671,206.64/27,459
  6. Step 6: Final answer
    x = 58,693.73

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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.