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Finding the Third Proportional to 31,370.32 and 47,125.15

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Solution

The third proportional to 31,370.32 and 47,125.15 is: 70,792.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,370.32 : 47,125.15 = 47,125.15 : x
  2. Step 2: Convert to fraction form
    31,370.32/47,125.15 = 47,125.15/x
  3. Step 3: Cross multiply
    31,370.32x = 47,125.15 × 47,125.15
  4. Step 4: Simplify right side
    31,370.32x = 2,220,779,891.38
  5. Step 5: Solve for x
    x = 2,220,779,891.38/31,370.32
  6. Step 6: Final answer
    x = 70,792.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.