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Finding the Third Proportional to 58,440 and 83,570

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Solution

The third proportional to 58,440 and 83,570 is: 119,506.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,440 : 83,570 = 83,570 : x
  2. Step 2: Convert to fraction form
    58,440/83,570 = 83,570/x
  3. Step 3: Cross multiply
    58,440x = 83,570 × 83,570
  4. Step 4: Simplify right side
    58,440x = 6,983,944,900
  5. Step 5: Solve for x
    x = 6,983,944,900/58,440
  6. Step 6: Final answer
    x = 119,506.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.