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Finding the Third Proportional to 30,807 and 66,537

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Solution

The third proportional to 30,807 and 66,537 is: 143,706.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,807 : 66,537 = 66,537 : x
  2. Step 2: Convert to fraction form
    30,807/66,537 = 66,537/x
  3. Step 3: Cross multiply
    30,807x = 66,537 × 66,537
  4. Step 4: Simplify right side
    30,807x = 4,427,172,369
  5. Step 5: Solve for x
    x = 4,427,172,369/30,807
  6. Step 6: Final answer
    x = 143,706.70

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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.