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Finding the Third Proportional to 14,689.69 and 31,125.94

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Solution

The third proportional to 14,689.69 and 31,125.94 is: 65,952.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,689.69 : 31,125.94 = 31,125.94 : x
  2. Step 2: Convert to fraction form
    14,689.69/31,125.94 = 31,125.94/x
  3. Step 3: Cross multiply
    14,689.69x = 31,125.94 × 31,125.94
  4. Step 4: Simplify right side
    14,689.69x = 968,823,985.25
  5. Step 5: Solve for x
    x = 968,823,985.25/14,689.69
  6. Step 6: Final answer
    x = 65,952.66

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.