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Finding the Third Proportional to 29,070 and 40,664.25

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Solution

The third proportional to 29,070 and 40,664.25 is: 56,882.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,070 : 40,664.25 = 40,664.25 : x
  2. Step 2: Convert to fraction form
    29,070/40,664.25 = 40,664.25/x
  3. Step 3: Cross multiply
    29,070x = 40,664.25 × 40,664.25
  4. Step 4: Simplify right side
    29,070x = 1,653,581,228.06
  5. Step 5: Solve for x
    x = 1,653,581,228.06/29,070
  6. Step 6: Final answer
    x = 56,882.74

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.