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Finding the Third Proportional to 46,526 and 62,547

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Solution

The third proportional to 46,526 and 62,547 is: 84,084.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,526 : 62,547 = 62,547 : x
  2. Step 2: Convert to fraction form
    46,526/62,547 = 62,547/x
  3. Step 3: Cross multiply
    46,526x = 62,547 × 62,547
  4. Step 4: Simplify right side
    46,526x = 3,912,127,209
  5. Step 5: Solve for x
    x = 3,912,127,209/46,526
  6. Step 6: Final answer
    x = 84,084.75

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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.