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Finding the Third Proportional to 9,153 and 14,377.50

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Solution

The third proportional to 9,153 and 14,377.50 is: 22,584.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153 : 14,377.50 = 14,377.50 : x
  2. Step 2: Convert to fraction form
    9,153/14,377.50 = 14,377.50/x
  3. Step 3: Cross multiply
    9,153x = 14,377.50 × 14,377.50
  4. Step 4: Simplify right side
    9,153x = 206,712,506.25
  5. Step 5: Solve for x
    x = 206,712,506.25/9,153
  6. Step 6: Final answer
    x = 22,584.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.