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Finding the Third Proportional to 30,461.48 and 66,807.70

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Solution

The third proportional to 30,461.48 and 66,807.70 is: 146,521.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,461.48 : 66,807.70 = 66,807.70 : x
  2. Step 2: Convert to fraction form
    30,461.48/66,807.70 = 66,807.70/x
  3. Step 3: Cross multiply
    30,461.48x = 66,807.70 × 66,807.70
  4. Step 4: Simplify right side
    30,461.48x = 4,463,269,196.84
  5. Step 5: Solve for x
    x = 4,463,269,196.84/30,461.48
  6. Step 6: Final answer
    x = 146,521.72

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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.