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Finding the Third Proportional to 29,565.84 and 44,656.31

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Solution

The third proportional to 29,565.84 and 44,656.31 is: 67,448.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,565.84 : 44,656.31 = 44,656.31 : x
  2. Step 2: Convert to fraction form
    29,565.84/44,656.31 = 44,656.31/x
  3. Step 3: Cross multiply
    29,565.84x = 44,656.31 × 44,656.31
  4. Step 4: Simplify right side
    29,565.84x = 1,994,186,246.10
  5. Step 5: Solve for x
    x = 1,994,186,246.10/29,565.84
  6. Step 6: Final answer
    x = 67,448.99

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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.