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Finding the Third Proportional to 16,053.19 and 23,986.13

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Solution

The third proportional to 16,053.19 and 23,986.13 is: 35,839.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,053.19 : 23,986.13 = 23,986.13 : x
  2. Step 2: Convert to fraction form
    16,053.19/23,986.13 = 23,986.13/x
  3. Step 3: Cross multiply
    16,053.19x = 23,986.13 × 23,986.13
  4. Step 4: Simplify right side
    16,053.19x = 575,334,192.52
  5. Step 5: Solve for x
    x = 575,334,192.52/16,053.19
  6. Step 6: Final answer
    x = 35,839.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.