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Finding the Third Proportional to 46,776 and 70,664

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Solution

The third proportional to 46,776 and 70,664 is: 106,751.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,776 : 70,664 = 70,664 : x
  2. Step 2: Convert to fraction form
    46,776/70,664 = 70,664/x
  3. Step 3: Cross multiply
    46,776x = 70,664 × 70,664
  4. Step 4: Simplify right side
    46,776x = 4,993,400,896
  5. Step 5: Solve for x
    x = 4,993,400,896/46,776
  6. Step 6: Final answer
    x = 106,751.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.