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Finding the Third Proportional to 21,527.50 and 31,584

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Solution

The third proportional to 21,527.50 and 31,584 is: 46,338.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,527.50 : 31,584 = 31,584 : x
  2. Step 2: Convert to fraction form
    21,527.50/31,584 = 31,584/x
  3. Step 3: Cross multiply
    21,527.50x = 31,584 × 31,584
  4. Step 4: Simplify right side
    21,527.50x = 997,549,056
  5. Step 5: Solve for x
    x = 997,549,056/21,527.50
  6. Step 6: Final answer
    x = 46,338.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.