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Finding the Third Proportional to 16,489 and 26,587.50

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Solution

The third proportional to 16,489 and 26,587.50 is: 42,870.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,489 : 26,587.50 = 26,587.50 : x
  2. Step 2: Convert to fraction form
    16,489/26,587.50 = 26,587.50/x
  3. Step 3: Cross multiply
    16,489x = 26,587.50 × 26,587.50
  4. Step 4: Simplify right side
    16,489x = 706,895,156.25
  5. Step 5: Solve for x
    x = 706,895,156.25/16,489
  6. Step 6: Final answer
    x = 42,870.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.