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Finding the Third Proportional to 27,018 and 59,490

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Solution

The third proportional to 27,018 and 59,490 is: 130,988.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,018 : 59,490 = 59,490 : x
  2. Step 2: Convert to fraction form
    27,018/59,490 = 59,490/x
  3. Step 3: Cross multiply
    27,018x = 59,490 × 59,490
  4. Step 4: Simplify right side
    27,018x = 3,539,060,100
  5. Step 5: Solve for x
    x = 3,539,060,100/27,018
  6. Step 6: Final answer
    x = 130,988.97

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.