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Finding the Third Proportional to 14,946 and 19,642.50

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Solution

The third proportional to 14,946 and 19,642.50 is: 25,814.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,946 : 19,642.50 = 19,642.50 : x
  2. Step 2: Convert to fraction form
    14,946/19,642.50 = 19,642.50/x
  3. Step 3: Cross multiply
    14,946x = 19,642.50 × 19,642.50
  4. Step 4: Simplify right side
    14,946x = 385,827,806.25
  5. Step 5: Solve for x
    x = 385,827,806.25/14,946
  6. Step 6: Final answer
    x = 25,814.79

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.