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Finding the Third Proportional to 13,987.13 and 29,594.25

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Solution

The third proportional to 13,987.13 and 29,594.25 is: 62,616.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,987.13 : 29,594.25 = 29,594.25 : x
  2. Step 2: Convert to fraction form
    13,987.13/29,594.25 = 29,594.25/x
  3. Step 3: Cross multiply
    13,987.13x = 29,594.25 × 29,594.25
  4. Step 4: Simplify right side
    13,987.13x = 875,819,633.06
  5. Step 5: Solve for x
    x = 875,819,633.06/13,987.13
  6. Step 6: Final answer
    x = 62,616.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.