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Finding the Third Proportional to 47,681.63 and 70,062.75

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Solution

The third proportional to 47,681.63 and 70,062.75 is: 102,949.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,681.63 : 70,062.75 = 70,062.75 : x
  2. Step 2: Convert to fraction form
    47,681.63/70,062.75 = 70,062.75/x
  3. Step 3: Cross multiply
    47,681.63x = 70,062.75 × 70,062.75
  4. Step 4: Simplify right side
    47,681.63x = 4,908,788,937.56
  5. Step 5: Solve for x
    x = 4,908,788,937.56/47,681.63
  6. Step 6: Final answer
    x = 102,949.28

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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.