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Finding the Third Proportional to 9,159 and 12,472.50

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Solution

The third proportional to 9,159 and 12,472.50 is: 16,984.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159 : 12,472.50 = 12,472.50 : x
  2. Step 2: Convert to fraction form
    9,159/12,472.50 = 12,472.50/x
  3. Step 3: Cross multiply
    9,159x = 12,472.50 × 12,472.50
  4. Step 4: Simplify right side
    9,159x = 155,563,256.25
  5. Step 5: Solve for x
    x = 155,563,256.25/9,159
  6. Step 6: Final answer
    x = 16,984.74

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.