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Finding the Third Proportional to 23,152 and 26,416

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Solution

The third proportional to 23,152 and 26,416 is: 30,140.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,152 : 26,416 = 26,416 : x
  2. Step 2: Convert to fraction form
    23,152/26,416 = 26,416/x
  3. Step 3: Cross multiply
    23,152x = 26,416 × 26,416
  4. Step 4: Simplify right side
    23,152x = 697,805,056
  5. Step 5: Solve for x
    x = 697,805,056/23,152
  6. Step 6: Final answer
    x = 30,140.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.