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Finding the Third Proportional to 26,613 and 42,187.50

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Solution

The third proportional to 26,613 and 42,187.50 is: 66,876.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,613 : 42,187.50 = 42,187.50 : x
  2. Step 2: Convert to fraction form
    26,613/42,187.50 = 42,187.50/x
  3. Step 3: Cross multiply
    26,613x = 42,187.50 × 42,187.50
  4. Step 4: Simplify right side
    26,613x = 1,779,785,156.25
  5. Step 5: Solve for x
    x = 1,779,785,156.25/26,613
  6. Step 6: Final answer
    x = 66,876.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.