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Finding the Third Proportional to 14,610 and 31,556.63

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Solution

The third proportional to 14,610 and 31,556.63 is: 68,160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,610 : 31,556.63 = 31,556.63 : x
  2. Step 2: Convert to fraction form
    14,610/31,556.63 = 31,556.63/x
  3. Step 3: Cross multiply
    14,610x = 31,556.63 × 31,556.63
  4. Step 4: Simplify right side
    14,610x = 995,820,581.39
  5. Step 5: Solve for x
    x = 995,820,581.39/14,610
  6. Step 6: Final answer
    x = 68,160.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.