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Finding the Third Proportional to 12,417 and 26,110.50

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Solution

The third proportional to 12,417 and 26,110.50 is: 54,905.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417 : 26,110.50 = 26,110.50 : x
  2. Step 2: Convert to fraction form
    12,417/26,110.50 = 26,110.50/x
  3. Step 3: Cross multiply
    12,417x = 26,110.50 × 26,110.50
  4. Step 4: Simplify right side
    12,417x = 681,758,210.25
  5. Step 5: Solve for x
    x = 681,758,210.25/12,417
  6. Step 6: Final answer
    x = 54,905.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.