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Finding the Third Proportional to 29,028.38 and 31,802.63

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Solution

The third proportional to 29,028.38 and 31,802.63 is: 34,842.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,028.38 : 31,802.63 = 31,802.63 : x
  2. Step 2: Convert to fraction form
    29,028.38/31,802.63 = 31,802.63/x
  3. Step 3: Cross multiply
    29,028.38x = 31,802.63 × 31,802.63
  4. Step 4: Simplify right side
    29,028.38x = 1,011,406,956.89
  5. Step 5: Solve for x
    x = 1,011,406,956.89/29,028.38
  6. Step 6: Final answer
    x = 34,842.01

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.