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Finding the Third Proportional to 46,988 and 64,434

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Solution

The third proportional to 46,988 and 64,434 is: 88,357.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,988 : 64,434 = 64,434 : x
  2. Step 2: Convert to fraction form
    46,988/64,434 = 64,434/x
  3. Step 3: Cross multiply
    46,988x = 64,434 × 64,434
  4. Step 4: Simplify right side
    46,988x = 4,151,740,356
  5. Step 5: Solve for x
    x = 4,151,740,356/46,988
  6. Step 6: Final answer
    x = 88,357.46

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Why These Related Problems?

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