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Finding the Third Proportional to 45,282 and 66,533

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Solution

The third proportional to 45,282 and 66,533 is: 97,757.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,282 : 66,533 = 66,533 : x
  2. Step 2: Convert to fraction form
    45,282/66,533 = 66,533/x
  3. Step 3: Cross multiply
    45,282x = 66,533 × 66,533
  4. Step 4: Simplify right side
    45,282x = 4,426,640,089
  5. Step 5: Solve for x
    x = 4,426,640,089/45,282
  6. Step 6: Final answer
    x = 97,757.17

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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.