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Finding the Third Proportional to 35,865.56 and 52,646.34

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Solution

The third proportional to 35,865.56 and 52,646.34 is: 77,278.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,865.56 : 52,646.34 = 52,646.34 : x
  2. Step 2: Convert to fraction form
    35,865.56/52,646.34 = 52,646.34/x
  3. Step 3: Cross multiply
    35,865.56x = 52,646.34 × 52,646.34
  4. Step 4: Simplify right side
    35,865.56x = 2,771,637,510.24
  5. Step 5: Solve for x
    x = 2,771,637,510.24/35,865.56
  6. Step 6: Final answer
    x = 77,278.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.