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Finding the Third Proportional to 46,688 and 71,762

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Solution

The third proportional to 46,688 and 71,762 is: 110,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,688 : 71,762 = 71,762 : x
  2. Step 2: Convert to fraction form
    46,688/71,762 = 71,762/x
  3. Step 3: Cross multiply
    46,688x = 71,762 × 71,762
  4. Step 4: Simplify right side
    46,688x = 5,149,784,644
  5. Step 5: Solve for x
    x = 5,149,784,644/46,688
  6. Step 6: Final answer
    x = 110,302.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.