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Finding the Third Proportional to 31,584 and 47,160

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Solution

The third proportional to 31,584 and 47,160 is: 70,417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,584 : 47,160 = 47,160 : x
  2. Step 2: Convert to fraction form
    31,584/47,160 = 47,160/x
  3. Step 3: Cross multiply
    31,584x = 47,160 × 47,160
  4. Step 4: Simplify right side
    31,584x = 2,224,065,600
  5. Step 5: Solve for x
    x = 2,224,065,600/31,584
  6. Step 6: Final answer
    x = 70,417.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.