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Finding the Third Proportional to 15,773.06 and 23,522.06

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Solution

The third proportional to 15,773.06 and 23,522.06 is: 35,078.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,773.06 : 23,522.06 = 23,522.06 : x
  2. Step 2: Convert to fraction form
    15,773.06/23,522.06 = 23,522.06/x
  3. Step 3: Cross multiply
    15,773.06x = 23,522.06 × 23,522.06
  4. Step 4: Simplify right side
    15,773.06x = 553,287,424.25
  5. Step 5: Solve for x
    x = 553,287,424.25/15,773.06
  6. Step 6: Final answer
    x = 35,078.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.