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Finding the Third Proportional to 46,020 and 53,789

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Solution

The third proportional to 46,020 and 53,789 is: 62,869.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,020 : 53,789 = 53,789 : x
  2. Step 2: Convert to fraction form
    46,020/53,789 = 53,789/x
  3. Step 3: Cross multiply
    46,020x = 53,789 × 53,789
  4. Step 4: Simplify right side
    46,020x = 2,893,256,521
  5. Step 5: Solve for x
    x = 2,893,256,521/46,020
  6. Step 6: Final answer
    x = 62,869.55

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.