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Finding the Third Proportional to 46,528 and 62,550

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Solution

The third proportional to 46,528 and 62,550 is: 84,089.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,528 : 62,550 = 62,550 : x
  2. Step 2: Convert to fraction form
    46,528/62,550 = 62,550/x
  3. Step 3: Cross multiply
    46,528x = 62,550 × 62,550
  4. Step 4: Simplify right side
    46,528x = 3,912,502,500
  5. Step 5: Solve for x
    x = 3,912,502,500/46,528
  6. Step 6: Final answer
    x = 84,089.20

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.