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Finding the Third Proportional to 14,148 and 19,210.50

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Solution

The third proportional to 14,148 and 19,210.50 is: 26,084.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,148 : 19,210.50 = 19,210.50 : x
  2. Step 2: Convert to fraction form
    14,148/19,210.50 = 19,210.50/x
  3. Step 3: Cross multiply
    14,148x = 19,210.50 × 19,210.50
  4. Step 4: Simplify right side
    14,148x = 369,043,310.25
  5. Step 5: Solve for x
    x = 369,043,310.25/14,148
  6. Step 6: Final answer
    x = 26,084.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.