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Finding the Third Proportional to 9,389.67 and 14,492.67

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Solution

The third proportional to 9,389.67 and 14,492.67 is: 22,369.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.67 : 14,492.67 = 14,492.67 : x
  2. Step 2: Convert to fraction form
    9,389.67/14,492.67 = 14,492.67/x
  3. Step 3: Cross multiply
    9,389.67x = 14,492.67 × 14,492.67
  4. Step 4: Simplify right side
    9,389.67x = 210,037,538.08
  5. Step 5: Solve for x
    x = 210,037,538.08/9,389.67
  6. Step 6: Final answer
    x = 22,369.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.