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Finding the Third Proportional to 31,397.63 and 47,827.13

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Solution

The third proportional to 31,397.63 and 47,827.13 is: 72,853.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,397.63 : 47,827.13 = 47,827.13 : x
  2. Step 2: Convert to fraction form
    31,397.63/47,827.13 = 47,827.13/x
  3. Step 3: Cross multiply
    31,397.63x = 47,827.13 × 47,827.13
  4. Step 4: Simplify right side
    31,397.63x = 2,287,433,885.77
  5. Step 5: Solve for x
    x = 2,287,433,885.77/31,397.63
  6. Step 6: Final answer
    x = 72,853.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.