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Finding the Third Proportional to 30,110 and 45,386

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Solution

The third proportional to 30,110 and 45,386 is: 68,412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,110 : 45,386 = 45,386 : x
  2. Step 2: Convert to fraction form
    30,110/45,386 = 45,386/x
  3. Step 3: Cross multiply
    30,110x = 45,386 × 45,386
  4. Step 4: Simplify right side
    30,110x = 2,059,888,996
  5. Step 5: Solve for x
    x = 2,059,888,996/30,110
  6. Step 6: Final answer
    x = 68,412.12

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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.