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Finding the Third Proportional to 35,730 and 77,808

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Solution

The third proportional to 35,730 and 77,808 is: 169,439.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,730 : 77,808 = 77,808 : x
  2. Step 2: Convert to fraction form
    35,730/77,808 = 77,808/x
  3. Step 3: Cross multiply
    35,730x = 77,808 × 77,808
  4. Step 4: Simplify right side
    35,730x = 6,054,084,864
  5. Step 5: Solve for x
    x = 6,054,084,864/35,730
  6. Step 6: Final answer
    x = 169,439.82

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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.