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Finding the Third Proportional to 19,780.31 and 43,312.45

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Solution

The third proportional to 19,780.31 and 43,312.45 is: 94,840.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,780.31 : 43,312.45 = 43,312.45 : x
  2. Step 2: Convert to fraction form
    19,780.31/43,312.45 = 43,312.45/x
  3. Step 3: Cross multiply
    19,780.31x = 43,312.45 × 43,312.45
  4. Step 4: Simplify right side
    19,780.31x = 1,875,968,421.23
  5. Step 5: Solve for x
    x = 1,875,968,421.23/19,780.31
  6. Step 6: Final answer
    x = 94,840.19

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Why These Related Problems?

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