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Finding the Third Proportional to 34,972 and 55,461

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Solution

The third proportional to 34,972 and 55,461 is: 87,953.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,972 : 55,461 = 55,461 : x
  2. Step 2: Convert to fraction form
    34,972/55,461 = 55,461/x
  3. Step 3: Cross multiply
    34,972x = 55,461 × 55,461
  4. Step 4: Simplify right side
    34,972x = 3,075,922,521
  5. Step 5: Solve for x
    x = 3,075,922,521/34,972
  6. Step 6: Final answer
    x = 87,953.86

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.