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Finding the Third Proportional to 48,820 and 71,502

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Solution

The third proportional to 48,820 and 71,502 is: 104,722.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,820 : 71,502 = 71,502 : x
  2. Step 2: Convert to fraction form
    48,820/71,502 = 71,502/x
  3. Step 3: Cross multiply
    48,820x = 71,502 × 71,502
  4. Step 4: Simplify right side
    48,820x = 5,112,536,004
  5. Step 5: Solve for x
    x = 5,112,536,004/48,820
  6. Step 6: Final answer
    x = 104,722.16

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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.