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Finding the Third Proportional to 35,852.63 and 97,539.19

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Solution

The third proportional to 35,852.63 and 97,539.19 is: 265,361.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,852.63 : 97,539.19 = 97,539.19 : x
  2. Step 2: Convert to fraction form
    35,852.63/97,539.19 = 97,539.19/x
  3. Step 3: Cross multiply
    35,852.63x = 97,539.19 × 97,539.19
  4. Step 4: Simplify right side
    35,852.63x = 9,513,893,098.16
  5. Step 5: Solve for x
    x = 9,513,893,098.16/35,852.63
  6. Step 6: Final answer
    x = 265,361.13

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.