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Finding the Third Proportional to 30,798 and 66,506

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Solution

The third proportional to 30,798 and 66,506 is: 143,614.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,798 : 66,506 = 66,506 : x
  2. Step 2: Convert to fraction form
    30,798/66,506 = 66,506/x
  3. Step 3: Cross multiply
    30,798x = 66,506 × 66,506
  4. Step 4: Simplify right side
    30,798x = 4,423,048,036
  5. Step 5: Solve for x
    x = 4,423,048,036/30,798
  6. Step 6: Final answer
    x = 143,614.78

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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.