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Finding the Third Proportional to 31,308 and 45,810

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Solution

The third proportional to 31,308 and 45,810 is: 67,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,308 : 45,810 = 45,810 : x
  2. Step 2: Convert to fraction form
    31,308/45,810 = 45,810/x
  3. Step 3: Cross multiply
    31,308x = 45,810 × 45,810
  4. Step 4: Simplify right side
    31,308x = 2,098,556,100
  5. Step 5: Solve for x
    x = 2,098,556,100/31,308
  6. Step 6: Final answer
    x = 67,029.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.