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Finding the Third Proportional to 31,352 and 47,024

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Solution

The third proportional to 31,352 and 47,024 is: 70,530.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,352 : 47,024 = 47,024 : x
  2. Step 2: Convert to fraction form
    31,352/47,024 = 47,024/x
  3. Step 3: Cross multiply
    31,352x = 47,024 × 47,024
  4. Step 4: Simplify right side
    31,352x = 2,211,256,576
  5. Step 5: Solve for x
    x = 2,211,256,576/31,352
  6. Step 6: Final answer
    x = 70,530.00

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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.