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Finding the Third Proportional to 19,386.84 and 29,934.56

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Solution

The third proportional to 19,386.84 and 29,934.56 is: 46,220.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,386.84 : 29,934.56 = 29,934.56 : x
  2. Step 2: Convert to fraction form
    19,386.84/29,934.56 = 29,934.56/x
  3. Step 3: Cross multiply
    19,386.84x = 29,934.56 × 29,934.56
  4. Step 4: Simplify right side
    19,386.84x = 896,078,032.07
  5. Step 5: Solve for x
    x = 896,078,032.07/19,386.84
  6. Step 6: Final answer
    x = 46,220.93

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.