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Finding the Third Proportional to 42,038.63 and 70,064.25

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Solution

The third proportional to 42,038.63 and 70,064.25 is: 116,773.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,038.63 : 70,064.25 = 70,064.25 : x
  2. Step 2: Convert to fraction form
    42,038.63/70,064.25 = 70,064.25/x
  3. Step 3: Cross multiply
    42,038.63x = 70,064.25 × 70,064.25
  4. Step 4: Simplify right side
    42,038.63x = 4,908,999,128.06
  5. Step 5: Solve for x
    x = 4,908,999,128.06/42,038.63
  6. Step 6: Final answer
    x = 116,773.54

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.