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Finding the Third Proportional to 45,360 and 66,501

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Solution

The third proportional to 45,360 and 66,501 is: 97,495.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,360 : 66,501 = 66,501 : x
  2. Step 2: Convert to fraction form
    45,360/66,501 = 66,501/x
  3. Step 3: Cross multiply
    45,360x = 66,501 × 66,501
  4. Step 4: Simplify right side
    45,360x = 4,422,383,001
  5. Step 5: Solve for x
    x = 4,422,383,001/45,360
  6. Step 6: Final answer
    x = 97,495.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.