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Finding the Third Proportional to 14,526 and 19,946.25

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Solution

The third proportional to 14,526 and 19,946.25 is: 27,389.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,526 : 19,946.25 = 19,946.25 : x
  2. Step 2: Convert to fraction form
    14,526/19,946.25 = 19,946.25/x
  3. Step 3: Cross multiply
    14,526x = 19,946.25 × 19,946.25
  4. Step 4: Simplify right side
    14,526x = 397,852,889.06
  5. Step 5: Solve for x
    x = 397,852,889.06/14,526
  6. Step 6: Final answer
    x = 27,389.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.