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Finding the Third Proportional to 48,025 and 70,481

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Solution

The third proportional to 48,025 and 70,481 is: 103,437.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,025 : 70,481 = 70,481 : x
  2. Step 2: Convert to fraction form
    48,025/70,481 = 70,481/x
  3. Step 3: Cross multiply
    48,025x = 70,481 × 70,481
  4. Step 4: Simplify right side
    48,025x = 4,967,571,361
  5. Step 5: Solve for x
    x = 4,967,571,361/48,025
  6. Step 6: Final answer
    x = 103,437.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.