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Finding the Third Proportional to 14,569.31 and 31,262.63

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Solution

The third proportional to 14,569.31 and 31,262.63 is: 67,082.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,569.31 : 31,262.63 = 31,262.63 : x
  2. Step 2: Convert to fraction form
    14,569.31/31,262.63 = 31,262.63/x
  3. Step 3: Cross multiply
    14,569.31x = 31,262.63 × 31,262.63
  4. Step 4: Simplify right side
    14,569.31x = 977,351,721.89
  5. Step 5: Solve for x
    x = 977,351,721.89/14,569.31
  6. Step 6: Final answer
    x = 67,082.90

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.