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Finding the Third Proportional to 30,537 and 64,935

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Solution

The third proportional to 30,537 and 64,935 is: 138,080.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,537 : 64,935 = 64,935 : x
  2. Step 2: Convert to fraction form
    30,537/64,935 = 64,935/x
  3. Step 3: Cross multiply
    30,537x = 64,935 × 64,935
  4. Step 4: Simplify right side
    30,537x = 4,216,554,225
  5. Step 5: Solve for x
    x = 4,216,554,225/30,537
  6. Step 6: Final answer
    x = 138,080.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.