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Finding the Third Proportional to 49,388 and 70,574

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Solution

The third proportional to 49,388 and 70,574 is: 100,848.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,388 : 70,574 = 70,574 : x
  2. Step 2: Convert to fraction form
    49,388/70,574 = 70,574/x
  3. Step 3: Cross multiply
    49,388x = 70,574 × 70,574
  4. Step 4: Simplify right side
    49,388x = 4,980,689,476
  5. Step 5: Solve for x
    x = 4,980,689,476/49,388
  6. Step 6: Final answer
    x = 100,848.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.