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Finding the Third Proportional to 9,699.75 and 14,488.88

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Solution

The third proportional to 9,699.75 and 14,488.88 is: 21,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.75 : 14,488.88 = 14,488.88 : x
  2. Step 2: Convert to fraction form
    9,699.75/14,488.88 = 14,488.88/x
  3. Step 3: Cross multiply
    9,699.75x = 14,488.88 × 14,488.88
  4. Step 4: Simplify right side
    9,699.75x = 209,927,498.77
  5. Step 5: Solve for x
    x = 209,927,498.77/9,699.75
  6. Step 6: Final answer
    x = 21,642.57

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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.