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Finding the Third Proportional to 14,578.50 and 31,230

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Solution

The third proportional to 14,578.50 and 31,230 is: 66,900.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,578.50 : 31,230 = 31,230 : x
  2. Step 2: Convert to fraction form
    14,578.50/31,230 = 31,230/x
  3. Step 3: Cross multiply
    14,578.50x = 31,230 × 31,230
  4. Step 4: Simplify right side
    14,578.50x = 975,312,900
  5. Step 5: Solve for x
    x = 975,312,900/14,578.50
  6. Step 6: Final answer
    x = 66,900.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.