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Finding the Third Proportional to 14,829 and 19,975.50

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Solution

The third proportional to 14,829 and 19,975.50 is: 26,908.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,829 : 19,975.50 = 19,975.50 : x
  2. Step 2: Convert to fraction form
    14,829/19,975.50 = 19,975.50/x
  3. Step 3: Cross multiply
    14,829x = 19,975.50 × 19,975.50
  4. Step 4: Simplify right side
    14,829x = 399,020,600.25
  5. Step 5: Solve for x
    x = 399,020,600.25/14,829
  6. Step 6: Final answer
    x = 26,908.13

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.