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Finding the Third Proportional to 45,724 and 66,636

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Solution

The third proportional to 45,724 and 66,636 is: 97,112.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,724 : 66,636 = 66,636 : x
  2. Step 2: Convert to fraction form
    45,724/66,636 = 66,636/x
  3. Step 3: Cross multiply
    45,724x = 66,636 × 66,636
  4. Step 4: Simplify right side
    45,724x = 4,440,356,496
  5. Step 5: Solve for x
    x = 4,440,356,496/45,724
  6. Step 6: Final answer
    x = 97,112.16

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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.