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Finding the Third Proportional to 8,547.75 and 19,290.38

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Solution

The third proportional to 8,547.75 and 19,290.38 is: 43,534.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.75 : 19,290.38 = 19,290.38 : x
  2. Step 2: Convert to fraction form
    8,547.75/19,290.38 = 19,290.38/x
  3. Step 3: Cross multiply
    8,547.75x = 19,290.38 × 19,290.38
  4. Step 4: Simplify right side
    8,547.75x = 372,118,567.64
  5. Step 5: Solve for x
    x = 372,118,567.64/8,547.75
  6. Step 6: Final answer
    x = 43,534.10

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.