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Finding the Third Proportional to 7,549.88 and 16,502.63

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Solution

The third proportional to 7,549.88 and 16,502.63 is: 36,071.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.88 : 16,502.63 = 16,502.63 : x
  2. Step 2: Convert to fraction form
    7,549.88/16,502.63 = 16,502.63/x
  3. Step 3: Cross multiply
    7,549.88x = 16,502.63 × 16,502.63
  4. Step 4: Simplify right side
    7,549.88x = 272,336,631.89
  5. Step 5: Solve for x
    x = 272,336,631.89/7,549.88
  6. Step 6: Final answer
    x = 36,071.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.