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Finding the Third Proportional to 9,426 and 16,051.50

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Solution

The third proportional to 9,426 and 16,051.50 is: 27,334.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,426 : 16,051.50 = 16,051.50 : x
  2. Step 2: Convert to fraction form
    9,426/16,051.50 = 16,051.50/x
  3. Step 3: Cross multiply
    9,426x = 16,051.50 × 16,051.50
  4. Step 4: Simplify right side
    9,426x = 257,650,652.25
  5. Step 5: Solve for x
    x = 257,650,652.25/9,426
  6. Step 6: Final answer
    x = 27,334.04

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.