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Finding the Third Proportional to 14,352 and 31,584

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Solution

The third proportional to 14,352 and 31,584 is: 69,505.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,352 : 31,584 = 31,584 : x
  2. Step 2: Convert to fraction form
    14,352/31,584 = 31,584/x
  3. Step 3: Cross multiply
    14,352x = 31,584 × 31,584
  4. Step 4: Simplify right side
    14,352x = 997,549,056
  5. Step 5: Solve for x
    x = 997,549,056/14,352
  6. Step 6: Final answer
    x = 69,505.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.