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Finding the Third Proportional to 46,470 and 53,706

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Solution

The third proportional to 46,470 and 53,706 is: 62,068.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,470 : 53,706 = 53,706 : x
  2. Step 2: Convert to fraction form
    46,470/53,706 = 53,706/x
  3. Step 3: Cross multiply
    46,470x = 53,706 × 53,706
  4. Step 4: Simplify right side
    46,470x = 2,884,334,436
  5. Step 5: Solve for x
    x = 2,884,334,436/46,470
  6. Step 6: Final answer
    x = 62,068.74

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.