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Finding the Third Proportional to 34,688 and 53,331

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Solution

The third proportional to 34,688 and 53,331 is: 81,993.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,688 : 53,331 = 53,331 : x
  2. Step 2: Convert to fraction form
    34,688/53,331 = 53,331/x
  3. Step 3: Cross multiply
    34,688x = 53,331 × 53,331
  4. Step 4: Simplify right side
    34,688x = 2,844,195,561
  5. Step 5: Solve for x
    x = 2,844,195,561/34,688
  6. Step 6: Final answer
    x = 81,993.65

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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.