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Finding the Third Proportional to 17,830.13 and 26,011.13

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Solution

The third proportional to 17,830.13 and 26,011.13 is: 37,945.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.13 : 26,011.13 = 26,011.13 : x
  2. Step 2: Convert to fraction form
    17,830.13/26,011.13 = 26,011.13/x
  3. Step 3: Cross multiply
    17,830.13x = 26,011.13 × 26,011.13
  4. Step 4: Simplify right side
    17,830.13x = 676,578,623.77
  5. Step 5: Solve for x
    x = 676,578,623.77/17,830.13
  6. Step 6: Final answer
    x = 37,945.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.