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Finding the Third Proportional to 14,670 and 15,763.50

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Solution

The third proportional to 14,670 and 15,763.50 is: 16,938.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,670 : 15,763.50 = 15,763.50 : x
  2. Step 2: Convert to fraction form
    14,670/15,763.50 = 15,763.50/x
  3. Step 3: Cross multiply
    14,670x = 15,763.50 × 15,763.50
  4. Step 4: Simplify right side
    14,670x = 248,487,932.25
  5. Step 5: Solve for x
    x = 248,487,932.25/14,670
  6. Step 6: Final answer
    x = 16,938.51

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.