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Finding the Third Proportional to 30,014.30 and 61,999.17

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Solution

The third proportional to 30,014.30 and 61,999.17 is: 128,068.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,014.30 : 61,999.17 = 61,999.17 : x
  2. Step 2: Convert to fraction form
    30,014.30/61,999.17 = 61,999.17/x
  3. Step 3: Cross multiply
    30,014.30x = 61,999.17 × 61,999.17
  4. Step 4: Simplify right side
    30,014.30x = 3,843,897,313.19
  5. Step 5: Solve for x
    x = 3,843,897,313.19/30,014.30
  6. Step 6: Final answer
    x = 128,068.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.