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Finding the Third Proportional to 9,685 and 14,893.50

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Solution

The third proportional to 9,685 and 14,893.50 is: 22,903.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685 : 14,893.50 = 14,893.50 : x
  2. Step 2: Convert to fraction form
    9,685/14,893.50 = 14,893.50/x
  3. Step 3: Cross multiply
    9,685x = 14,893.50 × 14,893.50
  4. Step 4: Simplify right side
    9,685x = 221,816,342.25
  5. Step 5: Solve for x
    x = 221,816,342.25/9,685
  6. Step 6: Final answer
    x = 22,903.08

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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.