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Finding the Third Proportional to 15,894.56 and 23,354.72

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Solution

The third proportional to 15,894.56 and 23,354.72 is: 34,316.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894.56 : 23,354.72 = 23,354.72 : x
  2. Step 2: Convert to fraction form
    15,894.56/23,354.72 = 23,354.72/x
  3. Step 3: Cross multiply
    15,894.56x = 23,354.72 × 23,354.72
  4. Step 4: Simplify right side
    15,894.56x = 545,442,887.89
  5. Step 5: Solve for x
    x = 545,442,887.89/15,894.56
  6. Step 6: Final answer
    x = 34,316.32

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.