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Finding the Third Proportional to 14,767.50 and 32,127

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Solution

The third proportional to 14,767.50 and 32,127 is: 69,892.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,767.50 : 32,127 = 32,127 : x
  2. Step 2: Convert to fraction form
    14,767.50/32,127 = 32,127/x
  3. Step 3: Cross multiply
    14,767.50x = 32,127 × 32,127
  4. Step 4: Simplify right side
    14,767.50x = 1,032,144,129
  5. Step 5: Solve for x
    x = 1,032,144,129/14,767.50
  6. Step 6: Final answer
    x = 69,892.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.