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Finding the Third Proportional to 30,276 and 64,158

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Solution

The third proportional to 30,276 and 64,158 is: 135,957.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,276 : 64,158 = 64,158 : x
  2. Step 2: Convert to fraction form
    30,276/64,158 = 64,158/x
  3. Step 3: Cross multiply
    30,276x = 64,158 × 64,158
  4. Step 4: Simplify right side
    30,276x = 4,116,248,964
  5. Step 5: Solve for x
    x = 4,116,248,964/30,276
  6. Step 6: Final answer
    x = 135,957.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.