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Finding the Third Proportional to 35,743.78 and 47,430.56

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Solution

The third proportional to 35,743.78 and 47,430.56 is: 62,938.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,743.78 : 47,430.56 = 47,430.56 : x
  2. Step 2: Convert to fraction form
    35,743.78/47,430.56 = 47,430.56/x
  3. Step 3: Cross multiply
    35,743.78x = 47,430.56 × 47,430.56
  4. Step 4: Simplify right side
    35,743.78x = 2,249,658,259.07
  5. Step 5: Solve for x
    x = 2,249,658,259.07/35,743.78
  6. Step 6: Final answer
    x = 62,938.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.