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Finding the Third Proportional to 14,461.88 and 31,485.38

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Solution

The third proportional to 14,461.88 and 31,485.38 is: 68,547.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461.88 : 31,485.38 = 31,485.38 : x
  2. Step 2: Convert to fraction form
    14,461.88/31,485.38 = 31,485.38/x
  3. Step 3: Cross multiply
    14,461.88x = 31,485.38 × 31,485.38
  4. Step 4: Simplify right side
    14,461.88x = 991,328,838.89
  5. Step 5: Solve for x
    x = 991,328,838.89/14,461.88
  6. Step 6: Final answer
    x = 68,547.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.