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Finding the Third Proportional to 10,425 and 14,710.50

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Solution

The third proportional to 10,425 and 14,710.50 is: 20,757.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425 : 14,710.50 = 14,710.50 : x
  2. Step 2: Convert to fraction form
    10,425/14,710.50 = 14,710.50/x
  3. Step 3: Cross multiply
    10,425x = 14,710.50 × 14,710.50
  4. Step 4: Simplify right side
    10,425x = 216,398,810.25
  5. Step 5: Solve for x
    x = 216,398,810.25/10,425
  6. Step 6: Final answer
    x = 20,757.68

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.