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Finding the Third Proportional to 34,018 and 51,157

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Solution

The third proportional to 34,018 and 51,157 is: 76,931.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,018 : 51,157 = 51,157 : x
  2. Step 2: Convert to fraction form
    34,018/51,157 = 51,157/x
  3. Step 3: Cross multiply
    34,018x = 51,157 × 51,157
  4. Step 4: Simplify right side
    34,018x = 2,617,038,649
  5. Step 5: Solve for x
    x = 2,617,038,649/34,018
  6. Step 6: Final answer
    x = 76,931.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.