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Finding the Third Proportional to 42,633 and 66,875.63

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Solution

The third proportional to 42,633 and 66,875.63 is: 104,903.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,633 : 66,875.63 = 66,875.63 : x
  2. Step 2: Convert to fraction form
    42,633/66,875.63 = 66,875.63/x
  3. Step 3: Cross multiply
    42,633x = 66,875.63 × 66,875.63
  4. Step 4: Simplify right side
    42,633x = 4,472,349,219.14
  5. Step 5: Solve for x
    x = 4,472,349,219.14/42,633
  6. Step 6: Final answer
    x = 104,903.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.