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Finding the Third Proportional to 30,097.50 and 66,024

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Solution

The third proportional to 30,097.50 and 66,024 is: 144,834.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,097.50 : 66,024 = 66,024 : x
  2. Step 2: Convert to fraction form
    30,097.50/66,024 = 66,024/x
  3. Step 3: Cross multiply
    30,097.50x = 66,024 × 66,024
  4. Step 4: Simplify right side
    30,097.50x = 4,359,168,576
  5. Step 5: Solve for x
    x = 4,359,168,576/30,097.50
  6. Step 6: Final answer
    x = 144,834.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.