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Finding the Third Proportional to 6,581.25 and 14,547.75

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Solution

The third proportional to 6,581.25 and 14,547.75 is: 32,157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.25 : 14,547.75 = 14,547.75 : x
  2. Step 2: Convert to fraction form
    6,581.25/14,547.75 = 14,547.75/x
  3. Step 3: Cross multiply
    6,581.25x = 14,547.75 × 14,547.75
  4. Step 4: Simplify right side
    6,581.25x = 211,637,030.06
  5. Step 5: Solve for x
    x = 211,637,030.06/6,581.25
  6. Step 6: Final answer
    x = 32,157.57

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.