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Finding the Third Proportional to 8,547.40 and 12,938.48

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Solution

The third proportional to 8,547.40 and 12,938.48 is: 19,585.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.40 : 12,938.48 = 12,938.48 : x
  2. Step 2: Convert to fraction form
    8,547.40/12,938.48 = 12,938.48/x
  3. Step 3: Cross multiply
    8,547.40x = 12,938.48 × 12,938.48
  4. Step 4: Simplify right side
    8,547.40x = 167,404,377.92
  5. Step 5: Solve for x
    x = 167,404,377.92/8,547.40
  6. Step 6: Final answer
    x = 19,585.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.