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Finding the Third Proportional to 12,306 and 26,360

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Solution

The third proportional to 12,306 and 26,360 is: 56,464.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306 : 26,360 = 26,360 : x
  2. Step 2: Convert to fraction form
    12,306/26,360 = 26,360/x
  3. Step 3: Cross multiply
    12,306x = 26,360 × 26,360
  4. Step 4: Simplify right side
    12,306x = 694,849,600
  5. Step 5: Solve for x
    x = 694,849,600/12,306
  6. Step 6: Final answer
    x = 56,464.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.