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Finding the Third Proportional to 45,643.50 and 98,577

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Solution

The third proportional to 45,643.50 and 98,577 is: 212,898.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,643.50 : 98,577 = 98,577 : x
  2. Step 2: Convert to fraction form
    45,643.50/98,577 = 98,577/x
  3. Step 3: Cross multiply
    45,643.50x = 98,577 × 98,577
  4. Step 4: Simplify right side
    45,643.50x = 9,717,424,929
  5. Step 5: Solve for x
    x = 9,717,424,929/45,643.50
  6. Step 6: Final answer
    x = 212,898.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.