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Finding the Third Proportional to 48,012 and 70,533

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Solution

The third proportional to 48,012 and 70,533 is: 103,617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,012 : 70,533 = 70,533 : x
  2. Step 2: Convert to fraction form
    48,012/70,533 = 70,533/x
  3. Step 3: Cross multiply
    48,012x = 70,533 × 70,533
  4. Step 4: Simplify right side
    48,012x = 4,974,904,089
  5. Step 5: Solve for x
    x = 4,974,904,089/48,012
  6. Step 6: Final answer
    x = 103,617.93

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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.