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Finding the Third Proportional to 38,970.19 and 58,734.19

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Solution

The third proportional to 38,970.19 and 58,734.19 is: 88,521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,970.19 : 58,734.19 = 58,734.19 : x
  2. Step 2: Convert to fraction form
    38,970.19/58,734.19 = 58,734.19/x
  3. Step 3: Cross multiply
    38,970.19x = 58,734.19 × 58,734.19
  4. Step 4: Simplify right side
    38,970.19x = 3,449,704,781.29
  5. Step 5: Solve for x
    x = 3,449,704,781.29/38,970.19
  6. Step 6: Final answer
    x = 88,521.64

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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.