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Finding the Third Proportional to 9,156.50 and 13,712

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Solution

The third proportional to 9,156.50 and 13,712 is: 20,533.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.50 : 13,712 = 13,712 : x
  2. Step 2: Convert to fraction form
    9,156.50/13,712 = 13,712/x
  3. Step 3: Cross multiply
    9,156.50x = 13,712 × 13,712
  4. Step 4: Simplify right side
    9,156.50x = 188,018,944
  5. Step 5: Solve for x
    x = 188,018,944/9,156.50
  6. Step 6: Final answer
    x = 20,533.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.