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Finding the Third Proportional to 48,946 and 70,664

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Solution

The third proportional to 48,946 and 70,664 is: 102,018.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,946 : 70,664 = 70,664 : x
  2. Step 2: Convert to fraction form
    48,946/70,664 = 70,664/x
  3. Step 3: Cross multiply
    48,946x = 70,664 × 70,664
  4. Step 4: Simplify right side
    48,946x = 4,993,400,896
  5. Step 5: Solve for x
    x = 4,993,400,896/48,946
  6. Step 6: Final answer
    x = 102,018.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.