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Finding the Third Proportional to 11,359 and 24,688

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Solution

The third proportional to 11,359 and 24,688 is: 53,657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,359 : 24,688 = 24,688 : x
  2. Step 2: Convert to fraction form
    11,359/24,688 = 24,688/x
  3. Step 3: Cross multiply
    11,359x = 24,688 × 24,688
  4. Step 4: Simplify right side
    11,359x = 609,497,344
  5. Step 5: Solve for x
    x = 609,497,344/11,359
  6. Step 6: Final answer
    x = 53,657.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.