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Finding the Third Proportional to 35,376 and 77,070

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Solution

The third proportional to 35,376 and 77,070 is: 167,904.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,376 : 77,070 = 77,070 : x
  2. Step 2: Convert to fraction form
    35,376/77,070 = 77,070/x
  3. Step 3: Cross multiply
    35,376x = 77,070 × 77,070
  4. Step 4: Simplify right side
    35,376x = 5,939,784,900
  5. Step 5: Solve for x
    x = 5,939,784,900/35,376
  6. Step 6: Final answer
    x = 167,904.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.