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Finding the Third Proportional to 27,000 and 63,061.50

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Solution

The third proportional to 27,000 and 63,061.50 is: 147,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,000 : 63,061.50 = 63,061.50 : x
  2. Step 2: Convert to fraction form
    27,000/63,061.50 = 63,061.50/x
  3. Step 3: Cross multiply
    27,000x = 63,061.50 × 63,061.50
  4. Step 4: Simplify right side
    27,000x = 3,976,752,782.25
  5. Step 5: Solve for x
    x = 3,976,752,782.25/27,000
  6. Step 6: Final answer
    x = 147,287.14

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.