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Finding the Third Proportional to 21,594 and 32,409

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Solution

The third proportional to 21,594 and 32,409 is: 48,640.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,594 : 32,409 = 32,409 : x
  2. Step 2: Convert to fraction form
    21,594/32,409 = 32,409/x
  3. Step 3: Cross multiply
    21,594x = 32,409 × 32,409
  4. Step 4: Simplify right side
    21,594x = 1,050,343,281
  5. Step 5: Solve for x
    x = 1,050,343,281/21,594
  6. Step 6: Final answer
    x = 48,640.52

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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.