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Finding the Third Proportional to 48,004 and 71,506

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Solution

The third proportional to 48,004 and 71,506 is: 106,514.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,004 : 71,506 = 71,506 : x
  2. Step 2: Convert to fraction form
    48,004/71,506 = 71,506/x
  3. Step 3: Cross multiply
    48,004x = 71,506 × 71,506
  4. Step 4: Simplify right side
    48,004x = 5,113,108,036
  5. Step 5: Solve for x
    x = 5,113,108,036/48,004
  6. Step 6: Final answer
    x = 106,514.21

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Why These Related Problems?

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