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Finding the Third Proportional to 34,594 and 75,700

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Solution

The third proportional to 34,594 and 75,700 is: 165,649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,594 : 75,700 = 75,700 : x
  2. Step 2: Convert to fraction form
    34,594/75,700 = 75,700/x
  3. Step 3: Cross multiply
    34,594x = 75,700 × 75,700
  4. Step 4: Simplify right side
    34,594x = 5,730,490,000
  5. Step 5: Solve for x
    x = 5,730,490,000/34,594
  6. Step 6: Final answer
    x = 165,649.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.