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Finding the Third Proportional to 10,237 and 14,497.50

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Solution

The third proportional to 10,237 and 14,497.50 is: 20,531.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,237 : 14,497.50 = 14,497.50 : x
  2. Step 2: Convert to fraction form
    10,237/14,497.50 = 14,497.50/x
  3. Step 3: Cross multiply
    10,237x = 14,497.50 × 14,497.50
  4. Step 4: Simplify right side
    10,237x = 210,177,506.25
  5. Step 5: Solve for x
    x = 210,177,506.25/10,237
  6. Step 6: Final answer
    x = 20,531.16

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.