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Finding the Third Proportional to 38,871 and 60,024

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Solution

The third proportional to 38,871 and 60,024 is: 92,688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,871 : 60,024 = 60,024 : x
  2. Step 2: Convert to fraction form
    38,871/60,024 = 60,024/x
  3. Step 3: Cross multiply
    38,871x = 60,024 × 60,024
  4. Step 4: Simplify right side
    38,871x = 3,602,880,576
  5. Step 5: Solve for x
    x = 3,602,880,576/38,871
  6. Step 6: Final answer
    x = 92,688.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.