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Finding the Third Proportional to 46,546 and 66,507

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Solution

The third proportional to 46,546 and 66,507 is: 95,028.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,546 : 66,507 = 66,507 : x
  2. Step 2: Convert to fraction form
    46,546/66,507 = 66,507/x
  3. Step 3: Cross multiply
    46,546x = 66,507 × 66,507
  4. Step 4: Simplify right side
    46,546x = 4,423,181,049
  5. Step 5: Solve for x
    x = 4,423,181,049/46,546
  6. Step 6: Final answer
    x = 95,028.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.