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Finding the Third Proportional to 39,278 and 59,490

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Solution

The third proportional to 39,278 and 59,490 is: 90,102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,278 : 59,490 = 59,490 : x
  2. Step 2: Convert to fraction form
    39,278/59,490 = 59,490/x
  3. Step 3: Cross multiply
    39,278x = 59,490 × 59,490
  4. Step 4: Simplify right side
    39,278x = 3,539,060,100
  5. Step 5: Solve for x
    x = 3,539,060,100/39,278
  6. Step 6: Final answer
    x = 90,102.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.