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Finding the Third Proportional to 30,004 and 39,702

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Solution

The third proportional to 30,004 and 39,702 is: 52,534.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,004 : 39,702 = 39,702 : x
  2. Step 2: Convert to fraction form
    30,004/39,702 = 39,702/x
  3. Step 3: Cross multiply
    30,004x = 39,702 × 39,702
  4. Step 4: Simplify right side
    30,004x = 1,576,248,804
  5. Step 5: Solve for x
    x = 1,576,248,804/30,004
  6. Step 6: Final answer
    x = 52,534.62

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.