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Finding the Third Proportional to 38,497.78 and 56,416.50

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Solution

The third proportional to 38,497.78 and 56,416.50 is: 82,675.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,497.78 : 56,416.50 = 56,416.50 : x
  2. Step 2: Convert to fraction form
    38,497.78/56,416.50 = 56,416.50/x
  3. Step 3: Cross multiply
    38,497.78x = 56,416.50 × 56,416.50
  4. Step 4: Simplify right side
    38,497.78x = 3,182,821,472.25
  5. Step 5: Solve for x
    x = 3,182,821,472.25/38,497.78
  6. Step 6: Final answer
    x = 82,675.45

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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.