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Finding the Third Proportional to 45,009 and 67,862.25

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Solution

The third proportional to 45,009 and 67,862.25 is: 102,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,009 : 67,862.25 = 67,862.25 : x
  2. Step 2: Convert to fraction form
    45,009/67,862.25 = 67,862.25/x
  3. Step 3: Cross multiply
    45,009x = 67,862.25 × 67,862.25
  4. Step 4: Simplify right side
    45,009x = 4,605,284,975.06
  5. Step 5: Solve for x
    x = 4,605,284,975.06/45,009
  6. Step 6: Final answer
    x = 102,319.20

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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.