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Finding the Third Proportional to 29,565.84 and 45,905.91

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Solution

The third proportional to 29,565.84 and 45,905.91 is: 71,276.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,565.84 : 45,905.91 = 45,905.91 : x
  2. Step 2: Convert to fraction form
    29,565.84/45,905.91 = 45,905.91/x
  3. Step 3: Cross multiply
    29,565.84x = 45,905.91 × 45,905.91
  4. Step 4: Simplify right side
    29,565.84x = 2,107,352,228.63
  5. Step 5: Solve for x
    x = 2,107,352,228.63/29,565.84
  6. Step 6: Final answer
    x = 71,276.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.