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Finding the Third Proportional to 29,086.31 and 46,666.69

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Solution

The third proportional to 29,086.31 and 46,666.69 is: 74,873.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,086.31 : 46,666.69 = 46,666.69 : x
  2. Step 2: Convert to fraction form
    29,086.31/46,666.69 = 46,666.69/x
  3. Step 3: Cross multiply
    29,086.31x = 46,666.69 × 46,666.69
  4. Step 4: Simplify right side
    29,086.31x = 2,177,779,722.22
  5. Step 5: Solve for x
    x = 2,177,779,722.22/29,086.31
  6. Step 6: Final answer
    x = 74,873.01

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.