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Finding the Third Proportional to 30,537 and 66,010

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Solution

The third proportional to 30,537 and 66,010 is: 142,689.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,537 : 66,010 = 66,010 : x
  2. Step 2: Convert to fraction form
    30,537/66,010 = 66,010/x
  3. Step 3: Cross multiply
    30,537x = 66,010 × 66,010
  4. Step 4: Simplify right side
    30,537x = 4,357,320,100
  5. Step 5: Solve for x
    x = 4,357,320,100/30,537
  6. Step 6: Final answer
    x = 142,689.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.