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Finding the Third Proportional to 15,763.64 and 32,987.81

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Solution

The third proportional to 15,763.64 and 32,987.81 is: 69,032.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,763.64 : 32,987.81 = 32,987.81 : x
  2. Step 2: Convert to fraction form
    15,763.64/32,987.81 = 32,987.81/x
  3. Step 3: Cross multiply
    15,763.64x = 32,987.81 × 32,987.81
  4. Step 4: Simplify right side
    15,763.64x = 1,088,195,773.54
  5. Step 5: Solve for x
    x = 1,088,195,773.54/15,763.64
  6. Step 6: Final answer
    x = 69,032.01

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.