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Finding the Third Proportional to 14,739 and 23,308.50

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Solution

The third proportional to 14,739 and 23,308.50 is: 36,860.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,739 : 23,308.50 = 23,308.50 : x
  2. Step 2: Convert to fraction form
    14,739/23,308.50 = 23,308.50/x
  3. Step 3: Cross multiply
    14,739x = 23,308.50 × 23,308.50
  4. Step 4: Simplify right side
    14,739x = 543,286,172.25
  5. Step 5: Solve for x
    x = 543,286,172.25/14,739
  6. Step 6: Final answer
    x = 36,860.45

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.