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Finding the Third Proportional to 19,705.78 and 29,763.70

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Solution

The third proportional to 19,705.78 and 29,763.70 is: 44,955.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.78 : 29,763.70 = 29,763.70 : x
  2. Step 2: Convert to fraction form
    19,705.78/29,763.70 = 29,763.70/x
  3. Step 3: Cross multiply
    19,705.78x = 29,763.70 × 29,763.70
  4. Step 4: Simplify right side
    19,705.78x = 885,878,023.71
  5. Step 5: Solve for x
    x = 885,878,023.71/19,705.78
  6. Step 6: Final answer
    x = 44,955.23

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Why These Related Problems?

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