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Finding the Third Proportional to 26,432.50 and 38,918.50

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Solution

The third proportional to 26,432.50 and 38,918.50 is: 57,302.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,432.50 : 38,918.50 = 38,918.50 : x
  2. Step 2: Convert to fraction form
    26,432.50/38,918.50 = 38,918.50/x
  3. Step 3: Cross multiply
    26,432.50x = 38,918.50 × 38,918.50
  4. Step 4: Simplify right side
    26,432.50x = 1,514,649,642.25
  5. Step 5: Solve for x
    x = 1,514,649,642.25/26,432.50
  6. Step 6: Final answer
    x = 57,302.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.