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Finding the Third Proportional to 46,985 and 64,429

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Solution

The third proportional to 46,985 and 64,429 is: 88,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,985 : 64,429 = 64,429 : x
  2. Step 2: Convert to fraction form
    46,985/64,429 = 64,429/x
  3. Step 3: Cross multiply
    46,985x = 64,429 × 64,429
  4. Step 4: Simplify right side
    46,985x = 4,151,096,041
  5. Step 5: Solve for x
    x = 4,151,096,041/46,985
  6. Step 6: Final answer
    x = 88,349.39

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.