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Finding the Third Proportional to 10,653.08 and 15,773.17

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Solution

The third proportional to 10,653.08 and 15,773.17 is: 23,354.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.08 : 15,773.17 = 15,773.17 : x
  2. Step 2: Convert to fraction form
    10,653.08/15,773.17 = 15,773.17/x
  3. Step 3: Cross multiply
    10,653.08x = 15,773.17 × 15,773.17
  4. Step 4: Simplify right side
    10,653.08x = 248,792,827.77
  5. Step 5: Solve for x
    x = 248,792,827.77/10,653.08
  6. Step 6: Final answer
    x = 23,354.07

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.