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Finding the Third Proportional to 42,363 and 56,476

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Solution

The third proportional to 42,363 and 56,476 is: 75,290.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,363 : 56,476 = 56,476 : x
  2. Step 2: Convert to fraction form
    42,363/56,476 = 56,476/x
  3. Step 3: Cross multiply
    42,363x = 56,476 × 56,476
  4. Step 4: Simplify right side
    42,363x = 3,189,538,576
  5. Step 5: Solve for x
    x = 3,189,538,576/42,363
  6. Step 6: Final answer
    x = 75,290.67

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.