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Finding the Third Proportional to 15,787.41 and 34,547.63

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Solution

The third proportional to 15,787.41 and 34,547.63 is: 75,600.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,787.41 : 34,547.63 = 34,547.63 : x
  2. Step 2: Convert to fraction form
    15,787.41/34,547.63 = 34,547.63/x
  3. Step 3: Cross multiply
    15,787.41x = 34,547.63 × 34,547.63
  4. Step 4: Simplify right side
    15,787.41x = 1,193,538,393.14
  5. Step 5: Solve for x
    x = 1,193,538,393.14/15,787.41
  6. Step 6: Final answer
    x = 75,600.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.