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Finding the Third Proportional to 43,370 and 64,688

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Solution

The third proportional to 43,370 and 64,688 is: 96,484.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,370 : 64,688 = 64,688 : x
  2. Step 2: Convert to fraction form
    43,370/64,688 = 64,688/x
  3. Step 3: Cross multiply
    43,370x = 64,688 × 64,688
  4. Step 4: Simplify right side
    43,370x = 4,184,537,344
  5. Step 5: Solve for x
    x = 4,184,537,344/43,370
  6. Step 6: Final answer
    x = 96,484.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.