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Finding the Third Proportional to 37,688 and 78,477

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Solution

The third proportional to 37,688 and 78,477 is: 163,411.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,688 : 78,477 = 78,477 : x
  2. Step 2: Convert to fraction form
    37,688/78,477 = 78,477/x
  3. Step 3: Cross multiply
    37,688x = 78,477 × 78,477
  4. Step 4: Simplify right side
    37,688x = 6,158,639,529
  5. Step 5: Solve for x
    x = 6,158,639,529/37,688
  6. Step 6: Final answer
    x = 163,411.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.