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Finding the Third Proportional to 9,735.19 and 14,539.50

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Solution

The third proportional to 9,735.19 and 14,539.50 is: 21,714.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.19 : 14,539.50 = 14,539.50 : x
  2. Step 2: Convert to fraction form
    9,735.19/14,539.50 = 14,539.50/x
  3. Step 3: Cross multiply
    9,735.19x = 14,539.50 × 14,539.50
  4. Step 4: Simplify right side
    9,735.19x = 211,397,060.25
  5. Step 5: Solve for x
    x = 211,397,060.25/9,735.19
  6. Step 6: Final answer
    x = 21,714.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.